Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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which function is best represented by this graph? y = \\frac{1}{2}x + 3…
$\boldsymbol{y = -\frac{1}{2}x + 3}$
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what is the vertex of the following function? y=-4x²+3
$(0, 3)$
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match the graph with its function y=2x²
C. <The graph labeled C, a narrow upward-opening parabola with vertex at (0,0)>
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33. make a table and graph the equation with 3 ordered pairs 5y = -2x +…
s: 33. Table: | \(x\) | \(y\) | |-------|-------| | \(0\) | \(1\) | | \(5\) | \(-1\) | | \(-5\) | \(3\) | Graph: Line through \((0, 1)\), \((5, -1)\), \((-5, 3)\). 34. Graph: Vert…
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(1-2)+4²·3=
$47$
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1. can you explain the executive order that affected japanese americans…
A. Internment of Japanese Americans ### Question 3
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the given figure shows a transformation of the graph of f(x)=|x|. write…
\( y = |x + 3| - 6 \) (Note: This is an example based on assumed vertex; the actual answer depends on the exact transformation shown in the figure.)
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y = -\\frac{1}{3}x + 100 thats correct! the equation for the slope of t…
90
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the given figure shows a transformation of the graph of f(x)=|x|. write…
\( y = |x + 3| - 6 \) (Note: This is an example based on assumed vertex; the actual answer depends on the exact transformation shown in the figure.)
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2. describe the characteristics of the function’s graph when x is betwe…
When $x$ is between -2 and 0, the graph is a straight, upward-sloping (increasing) line segment. As $x$ increases from -2 to 0, the function's output increases from 0 to 5, with a…
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13 $5\\frac{3}{4} + 2\\frac{5}{8}$
\(8\frac{3}{8}\) (or \(\frac{67}{8}\))
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use the slope to find the equation of the line. choose your answer on t…
79
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27. use the vertical line test to determine whether each relation is a …
Yes. Explanation: No vertical line intersects the graph more than once (passes Vertical Line Test). #### Part b
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) of the system is $\boldsymbol{(-8, 2)}$ To graph: 1. For $y=\frac{1}{2}x+6$, plot $(-12, 0)$ and $(0, 6)$, then draw the line through them. 2. Fo…
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10 $-\frac{5}{6} + \frac{1}{3}$
$-\frac{1}{2}$
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3) $y = 3|x - 2| + 3$
The graph is a V-shaped absolute value function with vertex at $(2, 3)$, passing through points $(1, 6)$, $(3, 6)$, and $(0, 9)$, opening upwards with a slope of $3$ for $x>2$ and…
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2) $y=(x^2 - 8x) - 10$
In vertex form, \(y=(x - 4)^{2}-26\)
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find the most general antiderivative or indefinite integral.\\(\\int \\…
$5\sec x + 3\tan x + C$ (where $C$ is an arbitrary constant)
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3. select all descriptions that accurately define the meaning of a func…
a. Every x-coordinate has one unique y-coordinate. d. Every independent variable has one unique dependent variable. e. Set of ordered pairs.
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divide. express the quotient as a fraction in simplest form. 4 ÷ 3/8 = …
32/3
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mfm2p name: _______________ date: _____________ 5. graph the following …
The parabola has vertex $(-2, -9)$, x-intercepts $(-5, 0)$ and $(1, 0)$, y-intercept $(0, -5)$. When graphed, it is an upward-opening parabola passing through these key points on …
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what is the value of $3\\frac{1}{3} \\div \\frac{2}{3}$? show your work…
\(5\)
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graph the equation shown below by transforming the given graph of the p…
To graph \(y = (-x)^3\), reflect the graph of the parent function \(y=x^3\) over the \(y\)-axis. The key points transformation: for a point \((x,y)\) on \(y = x^3\), the correspon…
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write a function in any form that would match the graph shown below.
\(y=\frac{1}{200}(x + 2)x^{2}-4\) (or expanded form \(y=\frac{1}{200}x^{3}+\frac{1}{100}x^{2}-4\))
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solve the following system of inequalities graphically on the set of ax…
The point \( (0,3) \) (other valid points like \( (2,4) \) etc. are also correct as long as they satisfy both inequalities) Point: \( (0, 3) \)
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write the equation of this line in slope-intercept form. write your ans…
$y=\frac{2}{3}x + 4$
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a graph of a quadratic function is shown on the grid. complete the stat…
The function has a maximum value of 3.
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12. a separation or splintering within a religious community a. meditat…
12. d. Schism 13. d. All of the above are true 14. c. Penance 15. c. When someone is arrested without legal evidence of a crime 16. c. They show us who they traded with and what t…
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evaluating piecewise functions circuit name: date: begin in cell #1 and…
1. Evaluate \(g(-4)\): 16 (matches Answer C) 2. Evaluate \(w(8)\): 4 (matches Answer F) 3. Evaluate \(v(-2)\): 11 (matches Answer E) 4. Evaluate \(s(1)\): 8 (matches Answer A) 5. …
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fill in the blank 1 point what is the slope of the line? (with a coordi…
$-1$
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¿cuántas pulgadas cuadradas hay en 60 pies cuadrados? 720 pulgadas cuad…
8,640 pulgadas cuadradas
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evaluate the function below at x = -4. put your answer in function nota…
$g(-4)=17$
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the function $v(h) = h(14 - 2h)(16 - 2h)$ represents the volume, in cub…
It increases, then decreases, then (invalid, so the valid trend is) increases, then decreases Height: 2.48 inches Volume: 247.50 cubic inches
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solve for x at f(x) = -5 given the function below. put your answer in f…
$f(-30) = -5$
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solve for x at g(x) = -4 given the function below. put your answer in f…
$g(6) = -4$
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the function $v(h) = h(14 - 2h)(16 - 2h)$ represents the volume, in cub…
1. x-intercepts: $(0,0)$, $(7,0)$, and $(8,0)$ 2. Increasing/decreasing behavior: On $(-\infty, \infty)$: - Increasing on $(-\infty, \frac{15-\sqrt{57}}{3})$, decreasing on $(\fra…
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evaluate the function below at x = 1. put your answer in function notat…
# Explicación: ## Paso 1: Sustituir $x=1$ en la función $g(1) = \sqrt{1} - 6$ ## Paso 2: Calcular la raíz y restar $g(1) = 1 - 6$ ## Paso 3: Obtener el resultado final $g(1) = -5$…
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evaluate the function. put your answer in function notation. find $h(-2…
$h(-2) = -1$
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find the domain and range of the relation. write in interval notation
Domain: $[-2, 5]$ Range: $[-2, 2]$
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find the functions range. enter your answer in interval notation.
$(-\infty, \infty)$
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find the functions range. enter your answer in interval notation.
# Explicación: ## Paso1: Identificar la función La gráfica es una recta oblicua (no horizontal ni vertical), por lo que es una función lineal de la forma $y=mx+b$, donde $m eq0$.…
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find the functions range. enter your answer in interval notation.
$(-\infty, \infty)$
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find the value of $f(9)$. $y = f(x)$
$9$
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before proceeding) function: ((x - 2)(x - 3)(x^2 + 2)) x-intercepts: y-…
x-intercepts: $(2, 0)$ and $(3, 0)$ y-intercepts: $(0, 12)$ a-value positive or negative? Positive relative minimums/maximums: Relative maximum at $(1.44, 6.10)$; Relative minima …
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question w3 use the sources below to answer the following question: how…
D. It shows the rise of new ideas and learning and the impact on politics.
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maya and seth each write an expression to help make 25 + 46 easier to a…
Maya
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there is a grid graph with x - axis from 0 to 20 and y - axis from 0 to…
For $x=16$, $y=11$ For $x=18$, $y=13$ Linear equation: $y = x - 5$
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according to the 22nd amendment, how many terms can a president serve? …
C. 2 terms (8 years)
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find the functions range. enter your answer in interval notation.
$(-15, 18)$
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what did the framers of the constitution not want the president of the …
B. Unlimited Power over the government and people
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find the functions range. enter your answer in interval notation.
$(-15, 17)$
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find the functions range. enter your answer in interval notation.
$[-25, 7]$
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tiana and yusuf each write an expression to help make $28 + 54$ easier …
Yusuf (the option: Yusuf)
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find the functions domain. enter your answer in interval notation.
$[-1, 5]$
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to make $36 + 47$ easier to solve, jana breaks apart the second addend,…
\( 40 + 43 \)
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40 to make 77 + 48 easier to solve, lou decides to first add on from 77…
125
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question write a function in any form that would match the graph shown …
\( f(x)=-\frac{1}{20000}x^3-\frac{1}{100}x^2 - 4 \) (or any equivalent cubic function that matches the graph's shape, root, and y - intercept)
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to make $77 + 48$ easier to solve, lou decides to first add on from 77 …
3
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a. fill in the table to match the graph below. | x | -1 | 0 | 1 | 2 | 3…
a. The table values are already correct: | $x$ | -2 | 0 | 1 | 2 | 3 | |-----|----|---|---|---|---| | $y$ | 5 | 3 | 1 | -1 | -3 | b. Valid points: A. $(-2,7)$, D. $(10,-17)$ c. $y=…
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4. \\(\\frac{1}{2}50 - (20 + 8)\\)\ what do the parentheses indicate in…
c. Add 20 and 8 before subtracting from 50. ### Question 5
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name : write the correct answer for each sentence. $6\\frac{1}{2} * 4\\…
s: 1. \( 30\frac{1}{3} \) 2. \( 8\frac{7}{30} \) 3. \( 9 \) 4. \( 16\frac{7}{15} \) 5. \( 12 \) 6. \( 17\frac{11}{15} \) 7. \( 8\frac{16}{21} \) 8. \( 9\frac{3}{7} \) 9. \( 6\frac…
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solution: y = 1 + x y = 2 + \\frac{1}{x}
The two lines intersect at the point $(2, 3)$. To plot: 1. Draw $y=\frac{1}{2}x+2$ through $(-4,0)$ and $(0,2)$ 2. Draw $y=x+1$ through $(-1,0)$ and $(0,1)$ 3. Label their interse…
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f(x) = \\begin{cases} \\frac{1}{2}x + 6, & -4 \\leq x < 0 \\\\ -5, & 0 …
B. <The graph with a closed dot at (-4,4), open dot at (0,6) for the line segment of $y=\frac{1}{2}x+6$, and a horizontal line segment from closed dot (0,-5) to closed dot (7,-5)>
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h(x) = \\begin{cases} 6, & -8 \\leq x < -4 \\\\ 3, & -4 \\leq x \\leq 5…
A. <The graph with a horizontal line at y=6 from x=-8 (closed dot) to x=-4 (open dot), and a horizontal line at y=3 from x=-4 (closed dot) to x=5 (closed dot)>
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h(x) = \\begin{cases} 2 - x &, -7 \\leq x \\leq 5 \\\\ 3x - 21 &, 5 < x…
A. The graph with left segment from closed point (-7, 9) to closed point (5, -3), and right segment from open point (5, -6) to closed point (9, 6)
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piecewise $h(x) = \\begin{cases} x + 2 , & -6 \\leq x \\leq -1 \\\\ 6 -…
A. (The graph with a closed dot at $(-6,-4)$, closed dot at $(-1,1)$ for the first line; open dot at $(-1,7)$, closed dot at $(4,2)$ for the second line)
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h(x) = \\begin{cases} x + 2, & -6 \\leq x \\leq -1 \\\\ 6 - x, & -1 < x…
A. <The graph with a closed dot at (-6,-4), closed dot at (-1,1) for the first segment; open dot at (-1,7), closed dot at (4,2) for the second segment>
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$$g(x) = \\begin{cases} -3x - 8 &, -4 \\leq x \\leq 0 \\\\ -3x + 9 &, 0…
B. The graph with a closed dot at $(-4,4)$ connected to a closed dot at $(0,-8)$, and an open dot at $(0,9)$ connected to a closed dot at $(3,0)$
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match each expression with its value. 2 -9 -1 undefined $g(-0.0001)$ $c…
- $g(-0.0001)$: $-9$ - $g(0)$: $-1$ - $g(0.0001)$: $-1$ - $g(9)$: Undefined
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match each expression with its value. -9 7 -2 undefined h(3.999) h(4) h…
- $h(3.999)$: $7$ - $h(4)$: Undefined - $h(4.0001)$: $-2$ - $h(9)$: Undefined
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match each expression with its value. -3 -7 -8 undefined $h(-2)$ $h(-1.…
- $h(-2)$: $-3$ - $h(-1.999)$: $-7$ - $h(0.999)$: $-7$ - $h(1)$: $-8$
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match each expression with its value. 6 2 -6 undefined $g(-5)$ $circ$$c…
$g(-5)$: 2 $g(-4.0001)$: 6 $g(-4)$: Undefined $g(-3.999)$: 2
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you might need: calculator $g(t) = \\begin{cases} -2t(t + 1) &, \\ t < …
10
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you might need: calculator $g(x) = \\begin{cases} -343x &, \\ x = -2 \\…
$1$
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you might need: calculator \\(g(x) = \\begin{cases} x^2 - 5 &, \\ x \\i…
16
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you might need: calculator $f(x) = \\begin{cases} \\dfrac{x - 6}{3} &, …
$-8$
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function g can be thought of as a translated (shifted) version of $f(x)…
B. $g(x) = |x| + 5$
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solution: $y = 3x - 4$ $y = x + 1$
The solution to the system is $(5, 6)$ To graph the lines: 1. For $y = x + 1$: plot the y-intercept $(0,1)$, then use slope 1 to plot another point like $(1,2)$, and draw the line…
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function g can be thought of as a scaled version of $f(x)=|x|$. graph o…
C. $g(x) = \frac{1}{2}|x|$
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function g can be thought of as a scaled version of $f(x)=|x|$. what is…
B. $g(x) = -4|x|$
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1. 37 × 60 =
\(2220\)
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read the excerpt from act 3 of a dolls house. helmer: listen to her, mr…
"I took my charming little Capri maiden . . . on my arm."
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read the excerpt from act 1 of a dolls house. mrs. linde: yes, but your…
As a woman, Nora cannot borrow money, but she does so behind her husband's back in order to save him.
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read the excerpt from act 3 of a dolls house. nora: in all these eight …
O The conflict between Nora and Helmer shows how gender roles were defined, as Helmer has complete control over everything, including what the couple discusses.
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3. a table of selected values is given for a one - to - one function, g…
\(8\)
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find the slope of the line that passes through these two points. (3, 5)…
Slope: $\frac{-1}{4}$ b) negative
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how do the authors of the declaration of independence use forms of the …
C. to defend the decision to separate from British rule D. to emphasize the cruelty and oppression of the king’s rule
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the bill of rights added to the constitution in 1791 to appease anti - …
Amendment 1
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the bill of rights added to the constitution in 1791 to appease anti - …
lies intended to harm someone
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the bill of rights amendments 9 and 10 address possible gaps in the con…
covering gaps in the Bill of Rights
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your team: your team will be assigned its own parabola to study. invest…
To complete the table for the function \( y = -x^2 + 3x + 4 \) (assuming the intended function, as the original has a typo), we calculate \( y \) for each \( x \): ### Step 1: For…
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solve the quadratic by graphing 13) ((x - 2)^2 - 3 = 1) solutions are: …
\(x = 0\) and \(x = 4\) ### Problem 14: \(-(x + 4)^2 + 5=-4\)
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7. $y = 2sqrt3{-x - 1} - 2$ domain: $(-infty, infty)$ range: $(-infty, …
The domain is \( (-\infty, \infty) \), the range is \( (-\infty, \infty) \), and the sample points \( (7, -6) \), \( (0, -4) \), \( (-1, -2) \) are verified to lie on the graph of…
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the exponential function f is defined by f(x) = ab^x, where a and b are…
$\frac{18}{100}$ or $0.18$
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the area of a rectangular region is increasing at a rate of 18,000 squa…
0.003
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17 the function ( f ) is defined by the given equation, where ( k ) is …
B. \( g(x) = k(1.83^x)^4 \)
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solving exponential equation this is a multi - part item. to solve the …
The first step is to isolate the exponential term by adding 7 to both sides of the equation, resulting in $2^{x-1}=16$. The final solution for $x$ is $\boldsymbol{5}$.
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13 a quadratic function models the height, in feet, of an object above …
1200
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what is the value of $e^{ln 7x}$? 7 7e 1 7x
D. $7x$
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determine each feature of the graph of the given function. $f(x) = \\fr…
- # of Horizontal Asymptotes: 1 (the horizontal asymptote is \(y = 0\)) - # of Holes: 1 (at \(x = 3\)) - # of Vertical Asymptotes: 2 (at \(x = 1\) and \(x=\frac{3}{2}\)) - # of x …