Calculus
Limits, derivatives, optimization, and behavior of functions.
-
graph the exponential function. $f(x)=3^x$ plot five points on the grap…
Five points: \((-2, \frac{1}{9})\), \((-1, \frac{1}{3})\), \((0, 1)\), \((1, 3)\), \((2, 9)\). Horizontal asymptote: \( y = 0 \). To graph, plot the points and draw a smooth curve…
-
what is the function g(x) created from f(x)=x² by moving the graph righ…
D. $g(x)=\frac{1}{2}(x-3)^2 - 5$
-
which statement explains the difference between the graphs of $f(x) = 4…
C. The graph of g(x) is obtained by flipping f(x) over the x-axis and stretching vertically by a factor of 2.
-
question 1 of 45 a function, f, is defined by $f(x,y)=3x^2 - 4y$. what …
C. 19
-
what is the function ( g(x) ) created from ( f(x) = x^2 ) by moving the…
B. $g(x)=3(x-8)^2 + 6$
-
what is the function ( g(x) ) created from ( f(x) = x^2 ) by moving the…
D. $g(x)=\frac{1}{6}(x + 7)^2 - 8$
-
question what is the y - intercept of the polynomial $f(x)$ defined bel…
0
-
identify both the vertical and horizontal asymptotes of the function. \…
Vertical asymptote: \( x = 2 \); Horizontal asymptote: \( y=-1 \)
-
practice & problem solving 15. make sense and persevere let ( f(x) = a^…
19. The graph of $g(x)$ is the graph of $f(x)=2^x$ translated 6 units down. 20. The graph of $p(x)$ is the graph of $f(x)=2^x$ translated 4 units left. 21. The graph of $g(x)$ is …
-
identify the horizontal asymptote of the function. $f(x) = -\frac{3}{x …
The horizontal asymptote of the function \( f(x)=-\frac{3}{x + 4}-8 \) is \( y = - 8 \)
-
understand 15. make sense and persevere let ( f(x) = a^x ). describe tw…
19. The graph of $g(x)=2^x -6$ is the graph of $f(x)=2^x$ shifted **6 units downward**. 20. The graph of $p(x)=2^{x+4}$ is the graph of $f(x)=2^x$ shifted **4 units to the left**.…
-
identify the vertical asymptote of the function.\\( f(x) = \\frac{8}{x …
The vertical asymptote of the function \(f(x)=\frac{8}{x + 2}-2\) is \(x=-2\)
-
how many x-intercepts would the function shown below have? $f(x) = (4x …
The function \(f(x)=(4x + 5)(x^2 + 4)\) has 1 \(x\)-intercept.
-
identify the vertical asymptote of the function. $f(x)=-\frac{7}{x - 2}…
The vertical asymptote of the function \( f(x)=-\frac{7}{x - 2}+7 \) is \( x = 2 \).
-
lesson 5 topic review name: period: lesson 5.1 nth root, radicals and r…
The value of \( \sqrt[4]{16^3} \) is \( 8 \)
-
50. $f(x)=\\begin{cases}-x + 1&\\text{if }x < -2\\\\5&\\text{if }x\\geq…
1. For $f(x)=\begin{cases}-x + 1 & \text{if } x < -2 \\5 & \text{if } x \geq -2\end{cases}$: - Left segment: Line $y=-x+1$, open at $(-2,3)$, extending left. - Right segment: Hori…
-
fill in the symbol that makes the expression true 50 + 120 125 drag the…
>
-
graph the following function on the axes provided. $f(x)=\\begin{cases}…
Graph the first line (for $x \leq 5$) through $(0, -6)$ and $(5, -11)$ (closed dot at $(5, -11)$) and the second line (for $x > 5$) through $(5, -3)$ (open dot) and $(6, 0)$ (and …
-
29. if $f(x) = x^2$ and $g(x) = f(x + 7.2)$, what is the vertex of the …
$(-7.2, 0)$
-
question how many x-intercepts would the function shown below have? $f(…
The function \( f(x)=(x^{2}-5)(x + 5) \) has 3 x - intercepts.
-
9. what problem is suggested about shareland’s economy * a. too many ch…
B. Unequal distribution of wealth ### Question 10
-
49. use the graph to answer the questions below: - what are the x-inter…
1. The x-intercepts are $x=-8$, $x=0$, and $x=8$. 2. For interval $(-8, -4)$: B. it's positive 3. For interval $(2, 6)$: B. it's positive 4. For interval $(-2, 2)$: B. it's positi…
-
the graph of $y = f(x)$ is shown below. what are all of the real soluti…
The real solutions of \( f(x) = 0 \) are \( x = -8 \), \( x = -4 \), \( x = 6 \), and \( x = 8 \). So the solutions are \( \boldsymbol{-8, -4, 6, 8} \).
-
计算： $\begin{array}{r} 13.67\\ + 0.312\\ hline end{array}$
\(13.982\)
-
f(x) = \\begin{cases} -x - 2 & \\text{for} & -6 < x < 2 \\\\ x - 7 & \\…
To graph \( f(x) \): 1. For \( -6 < x < 2 \), graph \( y = -x - 2 \) (open circles at \( (-6, 4) \) and \( (2, -4) \), line connecting them). 2. For \( 2 < x \leq 6 \), graph \( y…
-
characteristics of graphs worksheet domain: _________ range: _________ …
Domain: $\boldsymbol{-5 \leq x \leq 5}$ Range: $\boldsymbol{-4 \leq y \leq 4}$ Max: $\boldsymbol{4}$ Min: $\boldsymbol{-4}$ Discrete or continuous? $\boldsymbol{\text{Continuous}}…
-
6.3 comparing functions 1. function a is shown by the ordered pairs: (1…
1. a. $y = 3x + 2$ b. 3 2. A. $y = 2x + 2$ B. 2 3. a. B: $m=2$, C: $m=2$ b. Neither function increases faster; they have the same rate of change. 4. a. $y = 1.5x + 6$ b. Both func…
-
the graph of y = f(x) is shown below. what are all of the real solution…
The real solutions of \( f(x) = 0 \) are \( x=-8\), \( x=-4\), \( x = 6\), and \( x = 8\).
-
Question was provided via image upload.
Exercise 47: a. $f(3)=12$ b. $f(-2)=13$ c. $f(-1)=4$ d. $f(4)=5$ e. $f(5)=5$ Exercise 48: a. $g(-3)=-9$ b. $g(3)=4$ c. $g(-2)=-7$ d. $g(0)=6$ e. $g(4)=4$
-
domain: range: max: min: interval of increase: interval of decrease: f(…
Dominio: $[1, 12]$ Rango: $[0, 8]$ Max: $8$ Min: $0$ Interval of increase: $(1, 3)$ Interval of decrease: $(9, 12)$ $f(2)+f(9)=12$
-
the graph of y = f(x) is shown below. what are all of the real solution…
The real solutions of \( f(x) = 0 \) are \( x=-6 \), \( x=-4 \), and \( x = 0 \) (or if the graph only crosses at \( x=-6 \) and \( x = 0 \), then \( x=-6 \) and \( x = 0 \); but …
-
h(x) = x² + 2x + 3 5. h(-3) to h(0) f(x) = -x² + x - 3 7. f(3) to f(7) …
1. $h(-3)=6$, $h(-2)=3$, $h(-1)=2$, $h(0)=3$ 2. At $x=3$, $y=7$; at $x=1$, $y=1$ 3. $f(3)=-9$, $f(4)=-15$, $f(5)=-23$, $f(6)=-33$, $f(7)=-45$ 4. At $x=5$, $y=8$; at $x=4$, $y=4$
-
graph the following function on the axes provided. $f(x)=\\begin{cases}…
The graph consists of two line segments: one for \( y = x+7 \) (with \( x\leq - 1 \)) passing through \((-2,5)\) and \((-1,6)\) (closed at \((-1,6)\)) and one for \( y=x + 4 \) (w…
-
find the slope of the line that passes through (4, -10) and (5, 16). si…
26
-
2.9 rate of change with equations - day 4 find the average rate of chan…
1. $0$ 2. $1$ 3. $-16$ 4. $1$
-
the graph of y = f(x) is shown below. what are all of the real solution…
The real solutions of \( f(x) = 0 \) are the \( x \)-intercepts of the graph. From the graph, the \( x \)-intercepts are at \( x = -5 \), \( x = 0 \), and \( x = 6 \). So the real…
-
daily work: jan. 27th graph: ① ( f(x)=\begin{cases}2x - 4 & \text{if } …
1. For $f(x)=2x-4$ where $x>-1$: A ray starting at the open point $(-1, -6)$ with slope 2, extending to the right. 2. For $f(x)=|x+1|$ where $-4<x\leq2$: A V-shaped graph with ver…
-
compute. -3.384 - 5.76 = 16.37 + (-29.786) =
$-9.144$ $-13.416$
-
the graph of y = f(x) is shown below. what are all of the real solution…
The real solutions of \( f(x) = 0 \) are \( x = -3 \), \( x = 1 \), \( x = 4 \), and \( x = 7 \).
-
compute. $-3.46 + (-4.23) = square$ $-7.6 + 39.2 = square$
$-3.46 + (-4.23) = -7.69$ $-7.6 + 39.2 = 31.6$
-
for 7 and 8, find the maximum or minimum of the parabola. 7. $y = -2x^2…
The maximum value of the parabola \( y = - 2x^{2}-16x + 20 \) is \( 52 \) (occurring at \( x=-4 \)).
-
match the equation with the correct graph! $f(x) = x + 1$
The correct graph is the lower (second) one, with y-intercept at $(0,1)$ and x-intercept at $(-1,0)$.
-
find the average rate of change for each equation. 1. $f(x) = x^2 - 7x …
1. $-3$ 2. $3$ 3. $-2$ 4. $-1$
-
question find the y - coordinate of the y - intercept of the polynomial…
0
-
3. - food stamp act of 1964 - housing and urban development act of 1965…
the creation of programs to alleviate poverty
-
1.c: choose two directions: choose two words that best explain, define,…
1. diaphragm: a. separates, c. divides 2. diameter: b. through, d. circle 3. diagnose: c. identify, d. determine 4. dialect: a. pronunciation, d. grammar 5. permeable: a. absorben…
-
find the y-coordinate of the y-intercept of the polynomial function def…
The \(y\) - coordinate of the \(y\) - intercept is \(0\).
-
find the y-coordinate of the y-intercept of the polynomial function def…
\(-9\)
-
which equation choice could represent the graph shown below? answer $f(…
\(f(x)=(x + 8)(x^{2}+9)\)
-
let $f(x) = 3x - 5$. what is $f(4)$? a. 7 b. 9 c. 12 d. 17 #2 * let $g(…
1. A. 7 2. A. 3 3. B. 10
-
which equation choice could represent the graph shown below? answer $f(…
\(f(x)=x(x + 1)(x + 3)\)
-
which equation choice could represent the graph shown below? answer $f(…
\(f(x)=(x + 6)(x + 1)(x + 1)\) (the fourth option: \(f(x)=(x + 6)(x + 1)(x + 1)\))
-
¿cuál de los siguientes es un principio clave del diseño web? * 2 punto…
1. El diseño web debe priorizar la funcionalidad y la capacidad de respuesta. 2. Publicar entradas de blog periódicamente 3. (Se requieren las opciones completas para responder co…
-
which equation choice could represent the graph shown below? answer $f(…
\(f(x)=(x + 7)(x - 5)(x - 2)\) (Option B)
-
which equation choice could represent the graph shown below?
To solve this, we analyze the graph's features (degree, roots, leading coefficient, y - intercept) and match with polynomial equations. But since the options aren't provided, we'l…
-
7. the graph of a line is represented by the equation ( 5x - 8y = 40 ).…
$\frac{5}{8}$ (corresponding to the second option: $\boldsymbol{\frac{5}{8}}$)
-
a quadratic function $f(x)$ is hidden from view. you must find the $y$-…
\((0, -14)\)
-
a quadratic function f(x) is hidden from view. you must find the maximu…
The maximum value of \( f(x) \) is \( 8 \).
-
the study of how people, firms, and governments make decisions about ho…
B. economics
-
what is the cube root of 125? \\sqrt3{125} = \\square
\( 5 \)
-
a preschool is building a new fenced playground along one side of the b…
Length: 56 m Width: 28 m
-
a quadratic function $f(x)$ is hidden from view. you must find the $x$-…
To find the \( x \)-intercepts of the quadratic function \( f(x) \) most efficiently, we should select the **factored form** (also known as the intercept form) of the quadratic fu…
-
a quadratic function $f(x)$ is hidden from view. you must find the $y$-…
\((0, 15)\)
-
how can reconstruction in south carolina be considered a failure regard…
African American schools received less funding than schools for white students in South Carolina.
-
common assessment: back to the basics what is |-93.498|? save answer
93.498
-
what is the cube root of 1,000? \\sqrt3{1,000} = an error has occurred.…
10
-
c = \\frac{5}{9}(-10)
\( C = -\frac{50}{9} \)
-
which expression has a value of 12? \\(sqrt{24}\\) \\(sqrt{48}\\) \\(sq…
$\sqrt{144}$
-
simplify the radical expressions. (answers should be in simplest radica…
7. $\boldsymbol{6\sqrt[4]{135}}$ 8. $\boldsymbol{-6\sqrt[4]{7}}$ 9. $\boldsymbol{5xy^2\sqrt{3x}}$ 10. $\boldsymbol{4x^2y\sqrt[3]{3x}}$ 11. $\boldsymbol{2x\sqrt[5]{3xy^3}}$ 12. $\b…
-
the function $g(x) = x^2$ is transformed to obtain function $h$: $h(x) …
B. The graph of h is the graph of g horizontally shifted left 7 units.
-
4. why does the senate have the power to approve presidential appointme…
4. C. To limit the President's power and prevent unfair appointments 5. C. The Supreme Court strikes down a law that violates the Constitution
-
what are the solutions for the system of equations? select all that app…
(1,1), (6,-4)
-
what is the largest ( x )-value in solutions for the system of equation…
1
-
an artist is painting an amphitheater on a grid canvas. the equations b…
$(0, -3)$ and $(6, -3)$
-
can you prove this statement using properties of logarithms? \\log_{7}7…
no
-
evaluate the function graphically. find ( f(6) )
\( f(6)=0 \)
-
evaluate the function graphically. find $f(0)$
\( \boldsymbol{-3} \)
-
the function ( g(x) = x^2 ) is transformed to obtain function ( h ):( h…
D. The graph of $h$ is the graph of $g$ horizontally shifted left 7 units.
-
y = -x² + 36 that negative x - values indicate the distance to the left…
Maximum height point: $(0, 36)$ Zero height points: $(-6, 0)$ and $(6, 0)$
-
evaluate the function graphically. find ( f(1) )
\(f(1)=6\)
-
the function $g(x)=x^2$ is transformed to obtain function $h$: $h(x)=g(…
B. The graph of h is the graph of g vertically shifted down 5 units.
-
evaluate the function graphically. find ( f(-6) )
\( f(-6)=8 \)
-
evaluate the function graphically.
If evaluating \( f(-5) \), the value is \( 4 \). (Note: If the specific \( x \)-value to evaluate was not fully clear from the image, but based on the dot's position at \( x=-5 \)…
-
a. the function has a minimum value of -2. b. the function has a maximu…
C. The function has a maximum value of 1.
-
if ( g(x) = f(4x) ), which statement is true? a. the graph of function …
C. The graph of function $f$ is compressed horizontally by a scale factor of $\frac{1}{4}$ to create the graph of function $g$
-
remy says: to determine the value of 0.27 ÷ 0.003, i can divide 270 by …
Yes
-
problem 4 calculate $3.5 \\div 0.005$.
\(700\)
-
problem 1 determine the value of $1.4\\div0.2$.
7
-
5. in the indonesian government places a $500 tax on every japanese car…
5. A. To eliminate tariffs and promote economic cooperation 6. B. Quota 7. A. To pressure the government over human rights concerns
-
trade in southeast asia the strait of malacca is considered one of the …
1. A. Singapore 2. A. Narrow waterway that is easy to control or block 3. B. Specialization 4. A. To eliminate tariffs and promote economic cooperation
-
use the area model to find the product. 1. $24 \\times 0.71 = $ _______…
7 tenths, 1 hundredth $24 \times 0.71 = 17.04$
-
the image shows a line on a coordinate grid. the options are: ① $y = 4x…
$\boldsymbol{y=4x+1}$ (Option D)
-
question 5 $4\\cdot5^3$ 60 500 729 8000 question 6 $6 + 2(3 - 8) + 5$ 2…
Question 5: B. 500 Question 6: C. 1
-
which scenario best fits the graph shown below? a machine at a factory …
A machine at a factory can spool 5 yards of twine per minute. The inputs are the number of minutes that have passed and the outputs are the number of yards of twine remaining to b…
-
which function is graphed here? graph of a line \\(\\circ f(x) = -\\fra…
$f(x)=-\frac{1}{3}x+2$ (the second option)
-
what is the y - intercept of the equation $y = 15x + 75$? 15 75 - 5 $-\…
1. B. 75 2. 15
-
which is the sum of $8\\frac{3}{4}+2\\frac{1}{2}$? (1 point) $\\bigcirc…
B. \(11\frac{1}{4}\)
-
item #3 what is \\(\\frac{5}{6} - \\frac{3}{8}\\)? choose the answer in…
$\frac{11}{24}$ (corresponding to the option: $\boldsymbol{\frac{11}{24}}$)
-
question 42 not yet answered marked out of 1.00 flag question identify …
d. $(-1, 4)$ c. $(7, 0)$ is a zero and a relative minimum. b. $f(x)$ approaches positive infinity.
-
question 40 not yet answered marked out of 1.00 flag question one reaso…
d. Great Depression a. cannot be taken away by a government without due process of law a. exceptions for job-related discrimination