Calcul
Limites, dérivées, optimisation et comportement des fonctions.
-
read the quote, then answer the question. based on sara gudger’s descri…
Full of endless, backbreaking work
-
(sqrt{dfrac{81}{2}})
$\frac{9\sqrt{2}}{2}$
-
problem 2 what is the value of $4.5\\div0.08$?
\(56.25\)
-
problem 1 select all of the expressions that are equivalent to $4.5 \\d…
\(\frac{450}{100}\div\frac{8}{100}\), \(450\div8\), \(45\div0.8\) (i.e., the third, fourth, and fifth options)
-
graph the following function on the axes provided. $f(x) = \\begin{case…
The piecewise function is graphed with: 1. A line segment for $f(x)=x+3$ with an open endpoint at $(-1, 2)$ and a closed endpoint at $(2, 5)$ 2. A line segment for $f(x)=-x+9$ wit…
-
graph the quadratic function. label the vertex, axis of symmetry, and x…
The first graph with vertex $(-3, -36)$, axis of symmetry $x = -3$, and $x$-intercepts $(-9, 0)$ and $(3, 0)$.
-
1. evan hits a golf ball with an initial velocity of 112 feet per secon…
The domain of $h$ is $\boldsymbol{0 \leq t \leq 7}$ (or in interval notation $[0, 7]$). It represents the times from when Evan hits the ball at $\boldsymbol{0}$ seconds to when it…
-
graph the quadratic function. label the vertex, axis of symmetry, and x…
Vertex: $(-4.5, -6.25)$ Axis of Symmetry: $x = -4.5$ $x$-intercepts: $(-7, 0)$ and $(-2, 0)$
-
close reading the role of congress in a democracy 1. vocabulary: determ…
1. "Usurpations" means wrongful seizures of power/rights. This view led to the U.S. government adopting limited power, checks and balances, and separation of powers to avoid the t…
-
explain how you can use the table to determine the location of a zero i…
To determine the location of a zero of \( f(x)=-x^4 + 9 \) using the table, we use the Intermediate Value Theorem. This theorem tells us that if a continuous function changes sign…
-
use the table of values of the function $f(x)=x^{2}-8x + 20$ to complet…
at \( x = 4 \)
-
use the table of values of the function $f(x)=x^2 - 8x + 20$ to complet…
en \( x = 4 \) (o en el punto \( (4, 4) \))
-
complete the sentence to describe the end behavior of $f(x) = 5x^3$. as…
As \( x \to -\infty \), \( f(x) \to -\infty \) and as \( x \to \infty \), \( f(x) \to \infty \)
-
Question was provided via image upload.
D (Suponiendo que la opción D tenga la parábola abierta hacia abajo y pase por (0, 4), ya que las otras opciones son incorrectas por el análisis de la función cuadrática, el valor…
-
which graph represents the function of $f(x) = \\frac{4x^2 - 4x - 8}{2x…
# Explanation: ## Step1: Simplify the function First, factor the numerator and the denominator. The numerator \(4x^{2}-4x - 8\) can be factored as \(4(x^{2}-x - 2)=4(x - 2)(x+ 1)\…
-
calculate the following limits at infinity by dividing every term in th…
7.) $0$ 8.) $\frac{1}{3}$ 9.) $-\infty$ 10.) $-\frac{3}{2}$ 11.) $\frac{1}{4+\sqrt{3}}$
-
3. if someone uses a credit card only once, then only ever pays the min…
They will pay it off eventually, but have higher interest payments.
-
201805na - s3 - 12 the graph of the function ( f ) is shown in the ( xy…
C) $f(x)=(x+3)(x+1)^2(x-2)^2$
-
201805na - s3 - 12 the graph of the function f is shown in the xy - pla…
C) \(f(x)=(x + 3)(x + 1)^{2}(x - 2)^{2}\)
-
what is the slope intercept form of the equation of the line that has a…
$y=-4x+18$ --- ### Question 2
-
question 1 1 point a line intersects the y - axis of a coordinate plane…
A. $y=\frac{5}{13}x + 6$
-
question 4 1 point what is the slope intercept form of the equation of …
$y = 55x + 5$
-
graph the following function on the axes provided. $f(x)=\\begin{cases}…
The graph consists of two linear segments: 1. For \( y = 2x + 9, x < - 3 \): A line with slope 2, passing through points (e.g., \((-5, -1)\), \((-4, 1)\)) with an open circle at \…
-
graph the following function on the axes provided. $f(x) = \\begin{case…
To graph the piecewise function: 1. For \( f(x) = x + 7 \) ( \( x \leq -5 \) ): Plot \( (-5, 2) \) (closed dot) and \( (-10, -3) \), draw a line through them. 2. For \( f(x) = 5 \…
-
given the function, $f(x)=(x - 4)^3 + 1$, the root of the function is $…
$x=4+i$ and $x=4-i$
-
y = 4 - \\frac{1}{3}x\ \ | x | y |\ | | |\ | | |\ | | |\ | | |\ | | |\ …
## Completed Table: | \(x\) | \(y\) | |-------|-------| | \(-3\) | \(5\) | | \(0\) | \(4\) | | \(3\) | \(3\) | | \(6\) | \(2\) | | \(9\) | \(1\) | ## Graph Description: A straight…
-
given the function $f(x)=(x + 2)^3$, which graph represents the inverse…
The top-most graph (first option, passing through $(0,-2)$ and $(8,0)$) represents the inverse function.
-
8 multiple choice 1 point choose the function that has the exact same g…
A. $y = \sqrt[3]{-x}$
-
multiple choice 1 point based on the parent cube root function, $f(x)=s…
$y = 4\sqrt[3]{x+6}-1$ (first option)
-
$y = \\frac{5}{2}x - 8$ there is a table with columns x and y (empty ce…
### Completed Table: | $x$ | $y$ | |-----|-----| | $-4$ | $-18$ | | $-2$ | $-13$ | | $0$ | $-8$ | | $2$ | $-3$ | | $4$ | $2$ | ### Graph Instructions: Plot the points $(-4, -18)$,…
-
y = 4x - 5\ \ | x | y |\ | --- | --- |\ | | |\ | | |\ | | |\ | | |\ | |…
### Completed Table: | $x$ | $y$ | |-----|-----| | $-2$ | $-13$ | | $-1$ | $-9$ | | $0$ | $-5$ | | $1$ | $-1$ | | $2$ | $3$ | ### Graph Instructions: Plot the points $(-2, -13)$, …
-
question graph the following function on the axes provided. $f(x)=\\beg…
To graph the piece - wise function: 1. For $f(x)=2x + 6$ ($x < - 2$): Draw a line with slope 2 passing through points like $(-3,0)$, $(-4,-2)$ (and other points with $x < - 2$). T…
-
graph the following function on the axes provided. $f(x) = \\begin{case…
To graph the piecewise function: 1. For \( -4 \leq x \leq -1 \): Draw a horizontal line segment between \( (-4, -2) \) (closed dot) and \( (-1, -2) \) (closed dot). 2. For \( -1 <…
-
graph the following function on the axes provided. $f(x) = \\begin{case…
- For \( f(x) = 2x + 5 \) (\( x \leq -1 \)): Plot points like \( (-1, 3) \) (closed) and \( (-2, 1) \), draw a line through them (leftward). - For \( f(x) = -2 \) (\( x > 5 \)): P…
-
4 y = 7 - 3x (there is a table with x values 0,1,2,3,4 and correspondin…
## Completed Table: | $x$ | $y$ | |-----|-----| | 0 | 7 | | 1 | 4 | | 2 | 1 | | 3 | -2 | | 4 | -5 | ## Graph: Plot the points $(0,7)$, $(1,4)$, $(2,1)$, $(3,-2)$, $(4,-5)$ on the …
-
algebra ii unit 4 test b part ii—calculator \t50\tname: \tdate \tperiod…
Let's solve each equation step by step: ### 1) $\boldsymbol{\log_{5} x = 5}$ ## Step1: Convert to exponential form Recall that $\log_{b} a = c$ is equivalent to $b^c = a$. So, $\l…
-
find the difference. $(3 \\cdot 1,000) - (2 \\cdot 100)$ \\bigcirc \\ 1…
2800
-
fill in the blank question leasing appeals to people who use their auto…
for a limited number of miles (or infrequently)
-
multiple choice question your maximum liability, under federal law, for…
$50
-
what is the difference between convenience users and borrowers? payment…
Payment of the full balance versus carrying over a balance
-
fill in the blank question by federal law, your credit card agreement m…
liability limit
-
which equation(s) have x = -3 as the solution?\ □ \\(\\log_{3}(2x + 15)…
$\log_{3}(2x + 15)=2$, $\log_{4}(-20x + 4)=3$
-
identify the horizontal and vertical asymptotes. then, sketch the funct…
- Vertical Asymptote: \( x = -1 \) - Horizontal Asymptote: \( y = 0 \) ### Problem 14: \( f(x) = \frac{x - 1}{x^2 - 2x - 3} \)
-
multiple choice question what is the difference between convenience use…
Payment of the full balance versus carrying over a balance
-
evaluate: \\log_{27}9\ \\bigcirc\\ \\ \\ \\ \\frac{1}{3}\ \\bigcirc\\ \…
\(\frac{2}{3}\) (corresponding to the option with \(\frac{2}{3}\))
-
what does the transformation $f(x) \\mapsto f(x + 4) - 5$ do to the gra…
D. translates it 4 units left and 5 units down (assuming the options are labeled A, B, C, D with D being "translates it 4 units left and 5 units down")
-
evaluate: \\(\\log_{6}1,296 = \\square\\) done
4
-
what does the transformation $f(x) \\mapsto f(x - 10) - 4$ do to the gr…
translates it 10 units right and 4 units down
-
what does the transformation $f(x) \\mapsto f(x + 6) + 9$ do to the gra…
A. translates it 6 units left and 9 units up
-
fill in the blank question revolving credit allows you to make purchase…
credit limit
-
state the domain, end behavior, and describe the behavior around the ve…
### Problem 9: \( f(x) = \frac{-2x + 2}{x - 4} \) #### Domain: The domain of a rational function is all real numbers except where the denominator is zero. Set \( x - 4 = 0 \), so …
-
name: point of view worksheet 1 directions: determine from which perspe…
Narrator's Perspective: third - person omniscient Explain how you know: The narrator reveals the thoughts and feelings of both Kevin (wondering about the pet) and Juno (feeling un…
-
recalling the monroe doctrine go to: https://www.archives.gov/milestone…
1. The Monroe Doctrine was an 1823 U.S. foreign policy that declared the Western Hemisphere off-limits to new European colonization, stated the U.S. would not interfere in Europea…
-
function: $g(x) = 2x^2 - 8$ for $x \\geq 0$, the inverse function is $f…
q = 0 r = 2 s = 3 t = -3
-
rewrite the mixed number so the fraction part is proper. 2\\frac{12}{5}…
$4\frac{2}{5}$ (Whole number: 4, fraction part: $\frac{2}{5}$)
-
subtract. enter the numerator $1 - \\frac{1}{4} = \\frac{?}{\\quad}$
3
-
use the graphs to evaluate the expressions below. $f(g(3)) = \\square$ …
$f(g(3)) = 4$ $g(f(4)) = 5$ $f(f(1)) = 4$ $g(g(0)) = 0$
-
graph the piecewise - defined function $f(x)=\begin{cases}-\frac{1}{4}x…
B
-
graph the piecewise - defined function. $f(x)=\begin{cases}-1 - x& \tex…
C (assuming the option C has the correct graph with first line (x ≤2) decreasing, closed at (2, -3), second line (x>2) increasing, open at (2, 0))
-
duct be less than \\(\frac{2}{3}\\), equal to \\(\frac{2}{3}\\), or gre…
Greater than $\frac{2}{3}$
-
for the piecewise linear function, find (a) ( f(-4) ), (b) ( f(-1) ), (…
\( 3 \)
-
for the piecewise linear function, find (a) ( f(-4) ), (b) ( f(-1) ), (…
\( f(2)=\boxed{1} \)
-
for the piecewise linear function, find (a) f(-4), (b) f(-1), (c) f(0),…
\(-1\)
-
for the piecewise linear function, find (a) f(-4), (b) f(-1), (c) f(0),…
\( -2 \)
-
for the piecewise linear function, find (a) f(-4), (b) f(-1), (c) f(0),…
\(-8\)
-
which graph is the graph of ( f(x)=sqrt3{x} )? is there any interval ov…
To determine if the function is decreasing: The derivative of \( f(x)=\sqrt[3]{x} \) is \( f^\prime(x)=\frac{1}{3\sqrt[3]{x^{2}}} \). For all \( x\in(-\infty,0)\cup(0,\infty) \), …
-
identify the graph of the inverse of the function g(x) shown here. $g(x…
The graph of the inverse of \( g(x)=2x^{2}-8 \) is the top - right graph (the one with the two red branches symmetric about the \( y \)-axis and opening to the right, with \( x \)…
-
find the inverse of the function $f(x) = 2x - 4$. $g(x)=\frac{1}{2}x+\f…
The correct inverse function is \( g(x)=\frac{1}{2}x + 2 \) (the option with the checkmark). And \( f(x) \) is one - to - one (a linear function with non - zero slope), so its inv…
-
find the inverse of the function $f(x) = 2x - 4$. \ $\\boldsymbol{g(x) …
\( g(x)=\frac{1}{2}x + 2 \) (the option with this function, i.e., the last option: \( g(x)=\frac{1}{2}x + 2 \))
-
graph the following function on the axes provided. $f(x) = \\begin{case…
To graph the piecewise function: - For \( x \leq -1 \), draw a horizontal line \( y = -6 \) with a closed dot at \( (-1, -6) \) and extend left. - For \( x > 5 \), draw the line \…
-
determine the intervals of the domain over which the function shown to …
A. The function is continuous over the interval \((-\infty, -3) \cup (-3, \infty)\)
-
5. use your calculator to help you sketch a graph of ( r(x) = (x - 2)^2…
El valor de \( r(3) \) es \( 2 \). ### (b) Resolver \( r(x)=10 \) para \( x \)
-
4. complete the equation. show your work. 16×(5/8)=?
10
-
write a quadratic function to model the vertical motion for each situat…
The function is \( h(t)=\boldsymbol{-16t^2 + 64t + 63} \) and the maximum height is \( \boldsymbol{127} \) feet.
-
determine the intervals of the domain over which the function shown to …
$(-\infty, \infty)$
-
shown below is a graph of a system of two linear equations. choose the …
There is no solution to the system of linear equations, as the two lines are parallel and never intersect.
-
write \\(\frac{22}{10}\\) as a decimal. \\(\frac{11}{5} \\times 1 = \fr…
\(2.2\)
-
20) $y = 3x - 5$ 22) $y + 1 = 2(x + 3)$
For \( y = 3x-5 \): The line passes through \( (0,-5) \), \( (1,-2) \), \( (-1,-8) \) (among other points) and has a slope of 3. For \( y + 1=2(x + 3) \): The line passes through …
-
use the horizontal - line test to determine whether each function f has…
The function \(f\) passes the horizontal - line test (is one - to - one), so it has an inverse function. To sketch \(f^{-1}\), reflect the graph of \(f\) across the line \(y = x\)…
-
evaluate the following integral. include absolute values only when need…
\( \frac{1}{5}\ln|5x + 2| + C \) (or \( \frac{1}{5}\ln(5x + 2)+C \) if \( 5x + 2>0 \) is assumed)
-
use a change of variables to find the following \\(\\int \\frac{(\\sqrt…
\(\frac{2}{15}(\sqrt{x} + 2)^{3}+C\) (where \( C \) is the constant of integration)
-
4. calculator allowed | x | 2 | 5 | 7 | 8 | | f(x) | 10 | 30 | 40 | 20 …
C ### Second Sub - Question (Tangent Line)
-
el horario de clase unlimited attempts left due february 4th 11:59 pm p…
1. La clase de historia es a las ocho y media de la mañana. 2. La clase de español es a las once de la mañana. 3. La clase de arte es a la una y cuarto de la tarde. 4. La clase de…
-
find the slope of the line through each pair of points. 9) (8, 10), (-7…
s: 9. \(\boldsymbol{-\frac{4}{15}}\) 10. \(\boldsymbol{-\frac{1}{14}}\) 11. \(\boldsymbol{-\frac{3}{4}}\) 12. \(\boldsymbol{-\frac{1}{4}}\) 13. \(\boldsymbol{\frac{11}{17}}\) 14. …
-
graph the following function on the axes provided. $f(x) = \\begin{case…
The graph consists of a horizontal line \( y = -2 \) for \( x \leq -4 \) (with a closed dot at \( (-4, -2) \)) and a line \( y = 2x + 1 \) for \( x > 0 \) (with an open dot at \( …
-
evaluate the function $f(x) = 5x + 2$ at the given values of the indepe…
\( -5x + 2 \)
-
describe how the graph of $y = 2 \\cdot 3^x - 1$ compares to its parent…
B. It is the graph of \( y = 3^{x} \) with a vertical stretch by a factor of 2 and shifted down 1 unit.
-
graph the following function on the axes provided. $f(x) = \\begin{case…
The graph consists of a horizontal line segment \(y = 1\) for \(-5\lt x\lt - 2\) (open circles at \(x=-5\) and \(x=-2\)) and a line segment of \(y=-x - 1\) for \(-2\lt x\leq3\) (o…
-
given ( a(x) = 8^x ), if ( a(x) ) is vertically stretched by a factor o…
\( a(x) = 4\cdot 8^{-x} \) (corresponding to the option \( a(x)=4\cdot 8^{-x} \))
-
solve the system of equations by graphing. first graph the equations, a…
The solution to the system of equations is \((2,1)\)
-
evaluate the function $f(x) = \\frac{x}{|x|}$ at the given values of th…
\( 1 \)
-
evaluate the function $f(x) = x^2 + 8x + 7$ at the given values of the …
\(x^{2}+18x + 72\)
-
2. consider the function $y = f(x)$ below. use the graph to answer the …
\( f(15) = 0 \) ### (b) Evaluate \( f(20) - f(10) \)
-
evaluate the function $f(x)=x^2 + 8x + 7$ at the given values of the in…
\( 135 \)
-
5. which two actions did the taliban take that limited women’s freedoms…
- Banned women from parks and sports centers - Banned girls from school after sixth grade ### Question 6
-
evaluate the function ( f(x) = x^2 + 6x + 7 ) at the given values of th…
\( 7 \)
-
evaluate the function ( f(x) = 5x + 2 ) at the given values of the inde…
\( 5x + 12 \)
-
graph the piecewise function given below. $f(x) = \\begin{cases} 5 & \\…
To graph the piecewise function: 1. For \(x < 1\), draw a horizontal line \(y = 5\) with an open circle at \((1,5)\). 2. For \(1\leq x\leq7\), draw the parabola \(y=(x - 4)^2\) wi…
-
graph the following function on the axes provided. $f(x) = \\begin{case…
To graph the piecewise function: 1. For $f(x) = -3x - 9$ ($-4 < x \leq -1$): - Plot an open circle at $(-4, 3)$ and a closed circle at $(-1, -6)$. Draw a line segment connecting t…
-
which of the following involves a country focusing on producing a limit…
specialization