Calculus
Limits, derivatives, optimization, and behavior of functions.
-
what is the slope of this line? simplify your answer and write it as a …
\(\frac{3}{2}\)
-
what is the slope of this line? simplify your answer and write it as a …
\(\frac{3}{5}\)
-
write the slope, y-intercept, and equation for the following 1 slope: _…
\( m=\boldsymbol{4} \), \( b=\boldsymbol{-2} \) (For graphing, plot \( (0, - 2) \) and use slope \( 4 \) to find other points and draw the line) ### Problem 4: Analyze \( y=-\frac…
-
find the area between the graph of $f(x) = 7sqrt{x}$ and the $x$-axis o…
$\frac{266}{3}$
-
9. a function is graphed on the set of axes. the domain of this functio…
A. $\{x|x > -2\}$
-
what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{3}\)
-
what is the slope of this line? simplify your answer and write it as a …
\(-\frac{6}{5}\)
-
what is the slope of this line? (4, 5) (2, -1) 3 $-\frac{3}{4}$ 0 undef…
3
-
the supreme court case known as kelo v. city of new london was controve…
A. allowed greater use of the power of eminent domain
-
what is the slope of this line? the line passes through (-6, 8) and (-4…
\(-\frac{3}{2}\) (corresponding to the option with \(-\frac{3}{2}\))
-
what is the slope of this line? (3, 1) (5, 1) 2 -2 0 undefined submit w…
0
-
question 6 limitations on government power that are intended to protect…
A. civil liberties
-
what is the slope of this line? (2, 5) (2, 2) \\(\\frac{3}{2}\\) \\(-\\…
undefined
-
what is the slope of this line? (-2, 6) (2, -2) -2 $-\frac{1}{2}$ 0 und…
-2
-
convert to a decimal. \\frac{2}{9} round to the thousandths place.
0.222
-
refer to the functions r, p, and q. find the function (p·q)(x) and writ…
\(x(x + 5)\sqrt{9 - x}\) (or \((x^{2}+5x)\sqrt{9 - x}\))
-
if $g(x) = 4x^{4} - 23x^{3} + 10x^{2} + 25x$, use synthetic division to…
\( 0 \)
-
vertical stretches and shrinks of exponential functions which graph rep…
The third graph (the lower of the two upward-sloping exponential curves, labeled with the top-most of the two bottom option markers)
-
find the zeros for the polynomial function and give the multiplicity fo…
-2, multiplicity 2, touches the x-axis and turns around; -4, multiplicity 1, crosses the x-axis.
-
11. fill in the missing coordinate in each ordered pair so that the pai…
5
-
consider the graph of the equation $y = 2^x$. 12a what can we say about…
The values of \( y \) approach \( 0 \) but never quite reach it. So the correct option is the one with \( 0 \) (assuming the options are labeled with \( 0 \), \( -2 \), \( 2 \), a…
-
find $(f circ g)(10)$ in simplified form. $f(x)$ $h(x) = 2x + 5$
$-2$
-
((10 - 6 + 5) ÷ 9) × 2
$2$
-
factor to find all x-intercepts of the function.\\(f(x) = 3x^6 - 5x^5 -…
The x - intercepts of the function \(f(x)\) are \(x = 0\), \(x=-4\), \(x = 4\), and \(x=\frac{5}{3}\) (with \(x = 0\) having a multiplicity of 3). In terms of the solutions to \(f…
-
12 complétez le tableau sur les difficultés de la colonisation. difficu…
## Colonne "Difficultés" : - La prise de Québec en 1629 par les Anglais (frères Kirke) (rendue à la Nouvelle-France en 1632 par le traité de **Saint-Germain-en-Laye**) - Les **gue…
-
factor to find all x-intercepts of the function.\\(f(x) = -2x^5 - x^4 +…
The x-intercepts are \( x = 0 \), \( x = -\frac{1}{2} \), \( x = \sqrt{5} \), and \( x = -\sqrt{5} \). If we need to write them in the box (assuming multiple answers are allowed, …
-
or to find all x-intercepts of the function. $f(x) = 2x^4 + 9x^3 + 8x^2…
The \( x \)-intercepts of the function are \( x = 0 \) and \( x=-\frac{9}{2} \) (or \( x = 0 \) and \( x=-4.5\)). In boxed form, the \( x \)-intercepts are \( \boxed{0} \) and \( …
-
factor to find all x-intercepts of the function. $f(x) = -4x^3 + 2x^2 -…
The x - intercept of the function \(f(x)=-4x^{3}+2x^{2}-4x + 2\) is \(x = \frac{1}{2}\) (in the real number system, if we consider complex numbers, the roots of \(x^{2}+1 = 0\) ar…
-
what is the y-intercept of the polynomial $f(x)$ defined below? write t…
$-8$
-
the polynomial function $f(x)$ is graphed below. fill in the form below…
The degree of $f(x)$ is odd and the leading coefficient is positive. There are 5 different real zeros and 3 relative maximums.
-
question 2 of 15, step 1 of 1 correct find the value of the sum \\(\\su…
52920
-
the polynomial function $f(x)$ is graphed below. fill in the form below…
The degree of $f(x)$ is odd and the leading coefficient is positive. There are 5 different real zeros and 3 relative maximums.
-
adding and subtracting fractions with different denominators 6. raul wa…
$4\frac{4}{21}$ km ### Problem 7
-
adding and subtracting fractions with different denominator 6. raul wal…
\( 4\frac{4}{21} \) km ### Question 7
-
ms. lawson, a primary school teacher, told her students that a photogra…
C. The photo is free of copyrights.
-
graph these equations: $y = -\frac{3}{5}x + 4$ $y = -\frac{3}{5}x + 8$ …
no solution
-
question given the function $f(x) = x^3 + 18x^2 + 81x$, determine all i…
$(-\infty, -6)$
-
4. $q(x) = -|x| - 3$ vertex: translations:
Vertex: \((0, - 3)\) Translations: Reflect over the \(x\)-axis, then shift down 3 units.
-
3. $b(x) = \\frac{4}{3}|x + 2| - 5$ vertex: translations:
Vertex: \((-2, -5)\) Translations: 2 units left and 5 units down (with a vertical stretch by a factor of \(\frac{4}{3}\))
-
2. $t(p) = 7|p - 3| - 4$ vertex: \t\t\topens: narrower / wider / same (…
Vertex: \((3, - 4)\) Opens: Upwards Narrower / Wider / Same: Narrower
-
identify the graph of $g(x) = (x + 1)^2 - 1$? compare the graph to the …
The graph of \( g(x)=(x + 1)^2-7 \) has its vertex at \((-1, -7)\), opens upward, and is a transformation of \( f(x)=x^2 \) (shifted 1 unit left and 7 units down). To identify the…
-
graph the given function with a graphing calculator using (a) the stand…
C
-
property order evaluate the following numerical expressions. a. \\(2(5+…
a. $30$ b. $96$ c. $46$ d. Only the parentheses around the single numbers (3) and (2) in expression a ($2(5+(3)(2)+4)$) can be removed without changing the expression's value, res…
-
identify the graph of ( h(x) = (x - 2)^2 + 4 ) images of graphs compare…
The graph of \(h\) is a translation \(\boldsymbol{2}\) units to the right and \(\boldsymbol{4}\) units up of the graph of \(f\).
-
find the output, y, when the input, x, is 4. y =
0
-
identify the graph of $f(x) = \\frac{1}{4}(x + 10)^2$ compare the graph…
The graph of \( f \) is a \(\boldsymbol{\text{horizontal}}\) translation \(\boldsymbol{10}\) unit(s) \(\boldsymbol{\text{left}}\) and a \(\boldsymbol{\text{vertical shrink}}\) by …
-
if $g(x)=x^2 - 2x + 5$, find the value of $g(-4)$.
\( 29 \)
-
if $f(x) = -6x + 2$, find the value for $f(3)$.
\( -16 \)
-
identify the graph of ( p(x) = 3(x - 1)^2 ) compare the graph to the gr…
The graph of \( p \) is a \(\boldsymbol{\text{right}}\) translation \(\boldsymbol{1}\) units \(\boldsymbol{\text{right}}\) and a vertical stretch by a factor of \(\boldsymbol{3}\)…
-
which type of function describes f(x)? exponential logarithmic polynomi…
D. Rational
-
we cannot go a day without making choices. making choices in a world of…
scarcity
-
drag the tiles to the correct boxes to complete the pairs. not all tile…
To solve this problem, we analyze the key features of each graph (domain, range, y - intercept, and the general shape of exponential or logarithmic functions) and match them with …
-
the function f(x) is shown on the graph. which type of function describ…
The function \( f(x) \) is a logarithmic function (or a function of the form \( y=\log_b(x + c) \) with a vertical asymptote, increasing and concave down for the increasing part).
-
if the function g is horizontally compressed by a factor of \\(\\frac{1…
The bottom - left graph (the one with \( f(x) \) decreasing, passing near \( (0, - 1) \) and having a steep, downward - sloping curve) matches the transformation. If we assume the…
-
write the equation of this line in slope - intercept form. write your a…
\( y = -\frac{1}{4}x - 6 \)
-
add. 17. $2\\frac{1}{4}+3\\frac{1}{2}=\\frac{\\quad}{\\quad}$ 18. 19. r…
17. $\frac{23}{4}$ or $5\frac{3}{4}$ 19. Nearest whole number: 7 Nearest tenth: 6.8 Nearest hundredth: 6.75
-
11. $12 + 5 \\div 8 + 24 \\div 8 + 4^2 \\div 8$ 12. $3(4.5 + 7.2) - 5 \…
11. $17.625$ (or $\frac{141}{8}$) 12. $15.1$
-
for each part, determine if y is a function of x. (a) a scientist is ru…
\( y \) is a function of \( x \). ### Part (b)
-
u may draw an area model to help you. 8. $504\\div6 = (\\underline{quad…
\(504\div6=(480 + 24)\div6=(480\div6)+(24\div6)=80 + 4 = 84\) So the blanks are filled as follows: \(480\), \(480\), \(6\), \(80\), \(4\), \(84\) (in order of the blanks in the pr…
-
f(x) = sin(x² + 1)
\( f'(x) = 2x\cos(x^{2}+1) \)
-
name date evaluate. a. $2(50 - 4 \\cdot 3^2)$ b. $\\frac{5}{2^3 + 1} + …
a. $28$ b. $\frac{5}{9}$
-
for problems 8–10, evaluate. 8. $312 - (4 + 1)$ 9. $4 cdot |9 - 5| + 6$…
8. $21$ 9. $22$ 10. $3$
-
trish is solving for the zeros of the quadratic function $f(x) = 2x^2 -…
No, the function has no real number zeros.
-
this table of values represents a linear function. x | y 2 | -1 4 | -5 …
\( y=-2x + 3 \)
-
use the graph to evaluate the following: f(-4) = select f(1) = select f…
$f(-4) = 0$ $f(1) = -3$ $f(5) = 5$
-
what is $f(g(5))$? $f(x)=x^2 - 4x - 5$ | $x$ | $g(x)$ | | --- | --- | |…
891
-
what is the slope of the linear relationship? options: \\(\frac{1}{4}\\…
$-\frac{1}{4}$ *(Note: Based on the graph, this is the correct slope; the provided options appear to be incomplete, but the calculated slope is $-\frac{1}{4}$)*
-
8 of 9 under house bill 1308, within what time frame must prosecution b…
D. There is no statute of limitations for this offense
-
which equation represents the graph? options: $y = -dfrac{3}{2}x + 5$ $…
$y=\frac{2}{3}x - 3$ (Note: The provided options do not include the correct equation; the line has a positive slope and y-intercept at -3, which does not match the two listed nega…
-
aa.11 compare linear and exp both of these functions grow as x gets lar…
$g(x) = 3(4)^x - 5$
-
both of these functions grow as x gets larger and larger. which functio…
The function $g(x) = 3^x$ eventually exceeds the function $f(x)=13x$.
-
question given the functions $f(x) = 3x^8$ and $g(x) = 10cdot 6^x$, whi…
\( f(3) > g(3) \)
-
given the functions $f(x) = 4x^5$ and $g(x) = 7\\cdot 3^x$, which of th…
\( f(7) > g(7) \) (the option " \( f(7) > g(7) \)")
-
question given the functions ( f(x) = 4x^3 ) and ( g(x) = 6^x ), which …
\( f(4) < g(4) \) (the option with this statement)
-
(b) the graph of ( y = x^2 ) is shown. translate it to get the graph of…
The graph of $y=(x+4)^2$ is the graph of $y=x^2$ translated **4 units to the left**, with vertex at $(-4,0)$ and the same parabolic shape as the original function. When plotted on…
-
answer the questions below to determine what kind of function is depict…
This function is \(\boldsymbol{\text{exponential}}\) because the ratio of consecutive \( f(x) \) values is constant (equal to 4).
-
graph the parabola. $y = x^2 + 10x + 21$ plot five points on the parabo…
Five points to plot: 1. Vertex: $(-5, -4)$ 2. Left of vertex: $(-7, 0)$, $(-6, -3)$ 3. Right of vertex: $(-4, -3)$, $(-3, 0)$ Connect these points to graph the parabola.
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y=\sqrt[3]{x + 2}+4 \), shift the parent cube - root function \( y = \sqrt[3]{x} \) 2 units to the left and 4 units up. Key points of the transformed function can be f…
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y=(x + 3)^2+4 \), start with the parent function \( y = x^2 \) (a parabola opening up with vertex at \((0,0)\)). Shift the graph 3 units to the left (horizontal shift:…
-
graph the parabola. $y = x^2 + 10x + 21$ plot five points on the parabo…
Plot the following 5 points: 1. Vertex: $(-5, -4)$ 2. Left points: $(-7, 0)$, $(-6, -3)$ 3. Right points: $(-4, -3)$, $(-3, 0)$ Then connect the points to graph the parabola.
-
writing the inverse of a function complete the steps in order to write …
1. $y$ 2. $x$ 3. $x - 5$ 4. $f^{-1}(x)$
-
what is the rate of change of y with respect to x for this function? a …
\(\frac{1}{4}\)
-
3,5\\frac{3}{5} - 7 - 31,5y + 2,1
If the original expression is \( 5\frac{3}{5}-7 - 37.5y+2.1 \), the simplified form is \( 0.7 - 37.5y\) (or \( \frac{7}{10}-\frac{75}{2}y\)). If the first term is \( 3.5\times5\fr…
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y=(x + 2)^{3}+2 \): 1. Start with the parent function \( y = x^{3} \) (cubic curve through \((0,0)\), \((1,1)\), \((-1,-1)\) etc.). 2. Shift the graph of \( y=x^{3} \)…
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y=(x - 4)^{2}+5 \), shift the graph of \( y = x^{2} \) (vertex at \((0,0)\), opening up) 4 units to the right and 5 units up. The new vertex is \((4,5)\), and the para…
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y=\sqrt{x + 5}+5 \), shift the graph of \( y = \sqrt{x} \) left 5 units and up 5 units. The vertex (starting point) is at \((-5,5)\), and other points can be found by …
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y=\sqrt{x + 1}-3 \), shift the graph of \( y = \sqrt{x} \) 1 unit left and 3 units down. Key transformed points are \((-1,-3)\), \((0,-2)\), \((3,-1)\), \((8,0)\); dra…
-
graph the equation shown below by transforming the given graph of the p…
To graph \(y = |x + 3|+2\), shift the graph of \(y = |x|\) 3 units left and 2 units up. The vertex is at \((-3,2)\), with a V - shape, slope \(1\) for \(x\geq - 3\) and slope \(-1…
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y=x^{2}+3 \), shift the graph of the parent function \( y = x^{2} \) (a parabola with vertex at \((0,0)\)) upward by 3 units. The new vertex is \((0,3)\), and the para…
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y = 2^x-1 \), shift the graph of the parent function \( y = 2^x \) (given) **down by 1 unit**. Key points after transformation: \( (0,0) \), \( (1,1) \), \( (2,3) \), …
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y = |x|+5 \), shift the graph of the parent function \( y = |x| \) (with vertex at \((0,0)\)) vertically upward by 5 units. The new graph has a vertex at \((0,5)\), an…
-
graph the equation shown below by transforming the given graph of the p…
To graph \( y = |x - 5| \), shift the graph of the parent function \( y = |x| \) 5 units to the right. The vertex moves from \((0,0)\) to \((5,0)\), and the two arms of the V - sh…
-
subtract. 17.208 - 5.04 11.88 12.168 12.24 11.808
B. `12.168`
-
consider the graph of ( g(x) ) which statement is true? select all that…
A. The domain is all real numbers B. The range is all real numbers
-
estatura × estatura 1.65 ×1.65 2.7225 r9090 2.7225
El resultado de \(1.65 \times 1.65\) es \(2.7225\).
-
review economic concepts 11. true or false scarcity exists because our …
True
-
challenge activity 2.9.2: using math functions to calculate the distanc…
The corrected full code is: ```python import math x1 = float(input()) y1 = float(input()) x2 = float(input()) y2 = float(input()) x_dist = math.pow((x2 - x1), 2) y_dist = math.pow…
-
4.1 homework - functions of two variables score: 50/70 answered: 5/7 qu…
# Explanation: ## Step1: Substitute L and K values Substitute \( L = 13 \) and \( K = 16 \) into the function \( P(L, K)=28L^{0.6}K^{0.4} \). \[ P(13, 16)=28\times(13)^{0.6}\times…
-
an inequality that includes variables and represents a relationship whe…
inequality symbols (such as $<$, $>$, $\leq$, $\geq$)
-
linear equations practice — ordered pairs directions: each equation rep…
1) A. (1, 2), B. (2, 4) 2) A. (0, 1), B. (2, 3) 3) A. (2, 4), B. (3, 3), C. (1, 5) 4) A. (1, 3), B. (2, 2), C. (3, 1) 5) A. (0, 3), B. (2, 3), C. (3, 3) 6) A. (2, 4), B. (3, 2), C…