Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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a rectangular box with a square base is to have a volume of 20 cubic fe…
b. Cost function $C(x) = \frac{9.5x^3 + 280}{x}$, Material cost $293.5$.
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a. $f(x) = \\frac{(x + 3)(x - 4)}{-4(x - 3)}$ b. $f(x) = \\frac{4(x - 3…
b. $f(x) = \frac{4(x - 3)}{(x + 3)(x - 4)}$
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7. $y = \\frac{2x^2 + x - 15}{x^2 + 4x + 3}$ vertical asymptote(s) ____…
\(x = - 1\) #### Horizontal or Slant Asymptote
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name: ______ date: ______ unit 8 practice packet lesson 8-6 1. write a …
\( A=\int_{-\frac{\pi}{2}}^{-\frac{\pi}{4}}(\sqrt{2}-2\cos x)dx+\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}(2\cos x - \sqrt{2})dx+\int_{\frac{\pi}{4}}^{\frac{\pi}{2}}(\sqrt{2}-2\cos x)d…
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a. $y = -\frac{1}{6}(x + 3)(x + 2)(x - 1)^2$ b. $y = \frac{1}{6}(x + 3)…
d. $y = \frac{1}{6}(x + 3)(x + 2)(x - 1)^3$
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determine the end behavior of the polynomial function. y = 2(x + 3)^2(x…
c. As $x \to -\infty, f(x) \to -\infty$ and $x \to \infty, f(x) \to \infty$.
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graph each system of linear inequalities. describe the 15. \\begin{case…
1. For the system $\begin{cases} y \leq 3x + 6 \\ y \leq 3x - 8 \end{cases}$: The two lines are parallel, and there is no overlapping solution region (no solution exists for the s…
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spiral review 4. which product is shown by the model? a ( 5 \times 15 =…
### Question 4 (assuming the first question numbered 4? Wait, the first visible question is 4? Wait, the left side has question 4? Wait, the user's image has question 4: "The... o…
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simplify each fraction. \\(\frac{9}{27}\\) \\(\frac{8}{36}\\) \\(\frac{…
s: - $\frac{9}{27}$ simplifies to $\frac{1}{3}$ - $\frac{8}{36}$ simplifies to $\frac{2}{9}$ - $\frac{7}{27}$ simplifies to $\frac{7}{27}$
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tia states that the graph of $g(x) = (x - 2)^3 + 7$ is a translation of…
Tia's description is incorrect. The graph of \( g(x)=(x - 2)^{3}+7 \) is a translation of 2 units to the right (not left) and 7 units up from \( f(x)=x^{3} \). For a function \( y…
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which number is the best estimate for $31 \\times 81$? $30,000$ $8,000$…
2,400
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the function $f(x) = -x^3 + 2x^2 - x + 5$ is graphed on a coordinate gr…
As \( x \) approaches negative infinity, \( y \) approaches positive infinity. As \( x \) approaches positive infinity, \( y \) approaches negative infinity. (The first option)
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which best describes the roots of the function $h(x) = x^3 - 4x^2 - 3x …
3 real number solutions
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the function $h(x) = (x - 3)^3 + 1$ is graphed on a coordinate grid. wh…
- The domain of the function is all real numbers. - The range of the function is all real numbers. - The graph crosses the \( y \)-axis once. - The graph increases from negative i…
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the graph of the parent function $f(x) = x^3$ is translated such that t…
The first graph (the one with the curve passing through (0,0), rising with the inflection point around (1,1)) is the graph of \( g(x)=(x - 1)^{3}+1 \). (Assuming the first option …
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the function $f(x) = x^3$ is translated such that the function describi…
\((-5, 2)\)
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determining the equation of a translated function which values complete…
First blank: \(-1\), Second blank: \(-4\)
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¿qué es una limitación a la libertad de religión? * no puedes elegir tu…
1. No se pueden violar leyes basadas en creencias religiosas. 2. Derechos del gobierno estatal 3. Equilibrar el derecho a poseer armas con la seguridad pública
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b. $50 + (6×0.5) - 1^{4}$
52
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a national sport can you guess which sport this is from the following c…
1. C. Rugby is popular in many countries. 2. A. in over 100 countries 3. A. players on the other team 4. C. popular
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week 1c - section 1 2 linear functions: problem 1 (1 point) results for…
$y = x - 2$
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b. 4 and 9 5. evaluate (solve) each expression following the order of o…
39
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let $f(x) = x^2 + 1$ and $g(x) = x^2 - 1$ then $(f \\circ f)(x) = \\box…
$(f \circ g)(x) = x^4 - 2x^2 + 2$ $(g \circ f)(x) = x^4 + 2x^2$
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outline structure for literary analysis essay i. catchy title the feed …
The subfield is Literature (under Arts). The outline is for a literary analysis essay of the book "Feed" by M.T. Anderson, focusing on themes like technology's impact, dystopian s…
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what is the slope of the line? (with a coordinate grid showing a line p…
The slope of the line is \(\frac{5}{2}\) (or 2.5).
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1 on the graphic provided label the following parts of a wave: its wave…
a. 2 complete wavelengths are represented in the wave diagram. b. The amplitude of the wave is the distance from the central equilibrium line to either the highest peak or lowest …
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current skill evaluate 2 + x when x = 5. skill code: 47100
7
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divide. $213.2 \\div 10^1$
21.32
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which situation best illustrates the concept of scarcity? a class desig…
D. a person buying a used car due to limited income
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what is one way that economics can influence your daily life? ○ by forc…
C. by helping you understand that every choice has a tradeoff
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understanding place value which of the following is the correct expande…
D. 60,000 + 4,000 + 100 + 20
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solve each of the following equations by graphing. identify your soluti…
### Parte 1: Ecuaciones por gráfica --- #### 5. $y = x^2 - 4x - 5$ # Explicación: ## Paso 1: Crear tabla de valores Elegimos valores de $x$ y calculamos $y$: | $x$ | $y = x^2 - 4x…
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problem 22 19 write an equation in slope - intercept form for the line …
$y = -3x - 1$ --- ### Problem 41
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suppose that the number of worker-hours required to distribute new tele…
(a) $[0, 100]$ (b) $0 \leq x \leq 100$ (c) $88.89$ (d) $133.33$ (e) $84$
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1. $\begin{array}{r}914\\ -482\\ hlineend{array}$ 2. $\begin{array}{r}8…
1. 432 2. 495 3. 192 4. 441 5. 326 6. 119 7. 512 8. 635
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problem 19 34 a landscaping company charges a set fee for a spring clea…
2) the hourly labor rate for a cleanup --- ### Problem 35
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subtract. write your answer as a fraction or as a whole or mixed number…
\(7\frac{16}{55}\)
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max puts a stopper in the bathtub and turns on the faucet at t = 0. aft…
A. $g = 2.2t$; The equation represents a linear function because the equation is in the form $y = mx$.
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4 numeric 1 point if $f(x) = h \\circ g$ then $f(2) =?$ answer 5 numeri…
\(\frac{1}{4}\) ### Question 5:
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the meaning of place value skill check multiply. 6,988 × 10⁵ type your …
698800000
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a line passes through the points (5, -7.5) and has a y-intercept 10. wh…
D. $y = -10x - 3.5$
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5 numeric 1 point if $f(x) = h \\circ j$ then $f(3) =?$ for all questio…
\(\frac{1}{4}\)
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3 numeric 1 point if $f(x) = j circ h$ then $f(1) =?$ answer 4 numeric …
3 ### Question 4
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the meaning of place value skill check round 34,516 to the nearest hund…
34,500
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if $f(x)=j\\circ h$ then $f(1)=?$ answer numeric 1 point if $f(x)=h\\ci…
\(3\) ### Second Sub - Question: If \(f(x)=h\circ g\) then \(f(2)=?\)
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solve the equation by graphing the related function. $x^2 + 3 = 0$ use …
The equation $x^2 + 3 = 0$ has no real solutions. The related parabola $f(x)=x^2+3$ has a vertex at $(0, 3)$, opens upward, and does not intersect the x-axis.
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what is the inverse function of $f(x) = \\frac{x}{x - 2}$? $f^{-1}(x) =…
$f^{-1}(x)=\frac{2x}{x-1}$
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(9) \\( 93 \\enclose{longdiv}{190} \\) (13) \\( 94 \\enclose{longdiv}{1…
(9) Quotient = 2, Remainder = 4 (10) Quotient = 3, Remainder = 37 (11) Quotient = 5, Remainder = 0 (12) Quotient = 7, Remainder = 7 (13) Quotient = 2, Remainder = 2 (14) Quotient …
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3 numeric 1 point if $f(x)=j\\circ h$ then $f(1)=?$ answer 4 numeric 1 …
To solve these problems, we need the definitions of the functions \( j \), \( h \), and \( g \). Since they are not provided in the image, we cannot calculate the values of \( f(1…
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the graph of $f(x)$ is shown. which graph represents $g(x)=f(2x)$? (gra…
The second graph from the left (the graph that is a horizontal compression of $f(x)$ by a factor of $\frac{1}{2}$, with key $x$-coordinates halved while $y$-coordinates remain the…
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d105a kumon division by 2 - digit numbers 3 ◆ divide. (1) \\(\\begin{ar…
1. $2$ remainder $14$ 2. $3$ remainder $3$ 3. $5$ 4. $6$ remainder $69$ 5. $2$ remainder $12$ 6. $3$ 7. $4$ remainder $79$ 8. $6$ remainder $63$
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(9) \\( 73 \\enclose{longdiv}{150} \\) (13) \\( 74 \\enclose{longdiv}{1…
(9) $2$ remainder $4$ (10) $3$ remainder $17$ (11) $5$ remainder $20$ (12) $7$ (13) $2$ remainder $2$ (14) $3$ remainder $14$ (15) $5$ remainder $15$ (16) $6$ remainder $67$
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divide. (1) \\ \\begin{array}{r} 63 \\enclose{longdiv}{130} \\end{array…
(1) Quotient = 2, Remainder = 4 (2) Quotient = 3, Remainder = 24 (3) Quotient = 4, Remainder = 53 (4) Quotient = 6, Remainder = 22 (5) Quotient = 2, Remainder = 2 (6) Quotient = 3…
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d103b (9) \\( 91 \\overline{) 190} \\) (13) \\( 92 \\overline{) 190} \\…
(9) $190\div91=2$ remainder $8$ (13) $190\div92=2$ remainder $6$ (10) $276\div91=3$ remainder $3$ (14) $276\div92=3$ remainder $0$ (11) $465\div91=5$ remainder $10$ (15) $465\div9…
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3. graph the system of inequalities: y ≤ x - 4 3x + y ≤ 4 create two ta…
To graph the system: 1. For \( y\leq x - 4 \): - Draw the solid line \( y = x-4 \) using the points from its table. - Shade the region below the line. 2. For \( 3x + y\leq4 \): - …
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barrys desserts made a batch of fresh scones with \\(\\frac{7}{8}\\) of…
$\frac{3}{8}$ pounds
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11. the graph shows a linear relationship and a slope triangle. select …
rise: 4, run: 8, slope: 0.5
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7. each table of ordered pairs represents a linear relationship. select…
A. - 3 ### Question 9
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3. the ordered pairs represent a linear relationship. what is the slope…
5 ### Problem 5:
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a line with a slope of $-\frac{1}{4}$ passes through the points $(p, -1…
\( p = 3 \)
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cated operation. assume all variables are positive. \\(\\sqrt{3}\\) \\(…
$\sqrt[8]{x}$ (or $x^{\frac{1}{8}}$)
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write the series using summation notation. then find the sum of the ser…
Summation notation: $\sum_{i=1}^{8} (i+2)^2$ The sum is $380$
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choose the correct symbol to make the following statement true. $5\\fra…
<
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is the inverse of $g(x)$ a function? use the drop - down menus to expla…
The graph of the inverse of $g(x)$ is the reflection of the graph of $g(x)$ across the $\boldsymbol{y=x}$. The inverse of $g(x)$ $\boldsymbol{is not}$ a function because for each …
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estimate the sum. \\(\\frac{5}{8} + \\frac{3}{5}\\) less than 1 greater…
Greater than 1
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use >, <, or = to make the statement true. $4 \\frac{9}{10} - 1 \\frac{…
$4\frac{9}{10} - 1\frac{1}{8} > 2\frac{1}{2} + \frac{2}{7}$ The correct symbol is $>$
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brian irons $\frac{2}{9}$ of his shirt in $3\frac{3}{5}$ minutes. if br…
\(\frac{5}{81}\)
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the function $f(x)$ is shown in the table. | $x$ | $-4$ | $-2$ | $0$ | …
The y-intercept of $f(x)$ is $\boldsymbol{-6}$ and the y-intercept of $g(x)$ is $\boldsymbol{8}$. The y-intercept of $f(x)$ is $\boldsymbol{less\ than}$ the y-intercept of $g(x)$.
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the functions f and g are shown. are the functions inverses? use the dr…
The function $f(g(x))$ is equal to $x$ The function $g(f(x))$ is equal to $x$ The functions $f(x)$ and $g(x)$ are inverses.
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is the function $f(x)=x^4 + x$ even? use the drop - down menus to compl…
To determine if $f(x)$ is even, find $f(-x) = \boldsymbol{x^4 - x}$. Because $f(-x)$ $\boldsymbol{is\ not}$ equal to $f(x)$, the function $\boldsymbol{is\ not}$ even.
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the graph shows a proportional relationship from y to x that passes thr…
The constant of proportionality is \( 3 \) and the equation of the line is \( y = 3x \).
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which document first limited the power of the king and established the …
A. Magna Carta ### Second Question (First Amendment freedom):
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15) $\\frac{-3}{4} \\div -2 =$ 16) $0.53 - \\frac{17}{100} = \\frac{?}{…
$\frac{3}{8}$ ### Question 16
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a spring attached to a wall was displaced horizontally to model simple …
\( f(t) = 5\sin 3t + 4 \) (the third option)
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11) $- 0.5(- 0.7) =$ 12) $\frac{-1}{2} \bullet - 6 \bullet 5 =$ 13) $\f…
$0.35$ ### Problem 12: $\frac{-1}{2}\cdot - 6\cdot 5 =$
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10) -9.7 + 9.7 + 3.2 =
3.2
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9) -4 + 8.3 + 4 =
$8.3$
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8) 0.2(-6) =
\(-1.2\)
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- 4.7 - 3.1 =
\(-7.8\)
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6) - 4.5 - (-1.2) =
\(-3.3\)
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what is the slope of this line? (2, -3) (6, -3) options: $-\frac{4}{3}$…
0
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rewrite the expression with rational exponents. $sqrt4{7}$ $sqrt4{7} = …
$\frac{1}{4}$
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which form of government was ultimately established in mexico? republic…
A. Republic
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exam lesson name: government in the united states exam number: 700110rr…
A. court of limited jurisdiction
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16. evaluate |-9.75| =
\( 9.75 \)
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exam lesson name: government in the united states exam number: 700110rr…
C. jurisdiction.
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the function below has at least one rational zero. use this fact to fin…
\(7,-\frac{1}{3},\frac{1}{2}\)
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the graph of a quadratic function h is shown on the grid. the coordinat…
- Intersecciones con el eje x: $(1, 0)$ y $(-1, 0)$ - Intersección con el eje y: $(0, -1)$ - Vértice: $(0, -1)$ - Valor mínimo de la función: $-1$
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which statements are true about the graph above? select four correct st…
- The coordinate of the y-intercept is (0, -3) - The Axis of Symmetry is x=2 - The vertex is located at (2, -7) - The minimum value is -7
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which function increases at the fastest rate between x = 0 and x = 8? l…
The exponential function \( f(x) = 2^{x}+2 \) increases at the fastest rate between \( x = 0 \) and \( x = 8 \).
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what is a key reason for zoning regulations in land use planning? to li…
to reduce environmental impacts
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multiple choice 8. how was european society affected by the crusades? a…
8. C) Importation of Asian luxury goods created a greater interest in trade. 9. D) Muslims 10. C) The Byzantine Empire was located on a profitable trade route. 11. B) it restricte…
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9. russell is looking at two functions. the first function is represent…
\( g(x) \)
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e. write the new equation for each transformation description of the pa…
a. $g(x) = -2(3)^x$ b. $h(x) = 2(3)^x - 2$
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c. describe the transformation from the solid function to the dashed fu…
s: ### First Graph: - Transformation: Vertical shift down by 3 units and reflection over the x - axis (or reflection over x - axis and vertical shift down by 2 units) - Horizontal…
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d. describe the transformation from $f(x) = a(b)^x$ to $g(x)$ and write…
a. Transformation: Vertical shift up 6 units. Horizontal asymptote: $y=6$ b. Transformation: Reflection over x-axis, vertical stretch by 3. Horizontal asymptote: $y=0$ c. Transfor…
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c. describe the transformation from the solid function to the dashed fu…
Transformation: Vertical shift up 6 units. Horizontal Asymptote: \( y = 6 \) ### Part D (b)
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c. describe the transformation from the solid function to the dashed fu…
### First Graph: Transformation: Reflected over x-axis, shifted down 3 units Horizontal Asymptote: $y=-3$ ### Second Graph: Transformation: Reflected over x-axis, shifted down 2 u…
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19. how did implementation of codified laws such as the code of hammura…
A) It unified the various peoples and laws within the empire.
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question 20 of 45 the graph of the function $f(x) = -9(x + 1)^2 + 81$ h…
A. 2