Calcul
Limites, dérivées, optimisation et comportement des fonctions.
-
question 5 graph the system of inequalities. x - y ≤ 8 y < -\\frac{1}{2…
1. Draw a solid line for $y = x - 8$, shade the area **above** this line. 2. Draw a dashed line for $y = -\frac{1}{4}x + 3$, shade the area **below** this line. 3. Place a green d…
-
graph the system of inequalities. x + y > 7 2x - 3y < 6 note: after you…
1. Draw a dashed line for $y = -x + 7$ (y-intercept (0,7), slope -1) 2. Draw a dashed line for $y = \frac{2}{3}x - 2$ (y-intercept (0,-2), slope $\frac{2}{3}$) 3. Shade the region…
-
choose any two of the next three questions. (do not do all 3) (put a gi…
### Solving Question 3: \( f(g(x)) > 0 \) #### Step 1: Find \( f(g(x)) \) Given \( f(x) = x^3 - 3x^2 - 9x + 27 \) and \( g(x) = x - 4 \), substitute \( g(x) \) into \( f(x) \): \(…
-
8. which of the following best explains a context for the development d…
B. the appropriate gender roles for women in society ### Question 11 (economic context of women's rights movement)
-
lesson 2 skills practice numerical expressions find the value of each e…
6 ### 2. \(11 + 19 - 8\) ## Step 1: Add 11 and 19 \(11 + 19 = 30\) ## Step 2: Subtract 8 from the result \(30 - 8 = 22\)
-
a list and add the four partial products for problem a to double - chec…
### Problem a Partial products: $6 \times 7 = 42$ $6 \times 20 = 120$ $50 \times 7 = 350$ $50 \times 20 = 1000$ Total = $1512$ Top blanks: Multiplier digit $\boldsymbol{7}$, adden…
-
challenge: match the words & pictures 1. image search term: example of …
1. a) :onstraint 2. b) [Restricted area graph] 3. c) [Restricted construction area document] 4. d) SHORT-TERM GOALS
-
question find the slope of the line represented by the equation below. …
$\frac{1}{4}$
-
question use a graphing calculator to solve the following inequality. $…
$x < -9$ or $x > 1$ (in interval notation: $(-\infty, -9) \cup (1, \infty)$)
-
use a graphing calculator to solve the following inequality. \\(\frac{1…
$x < -14$ or $x > 6$ (in interval notation: $(-\infty, -14) \cup (6, \infty)$)
-
graph this inequality: $y > \\frac{1}{4}x + 5$ dot points on the bounda…
1. Draw a dashed line for \( y=\frac{1}{4}x + 5 \) (passing through \( (0,5) \) and \( (4,6) \) as key points). 2. Shade the region above the dashed line (the region where \( y\) …
-
7. use ( f(x) = 4x^3 + x^2 - 28x - 7 ) to answer the following question…
\( \pm1, \pm7, \pm\frac{1}{2}, \pm\frac{7}{2}, \pm\frac{1}{4}, \pm\frac{7}{4} \) ### Part b: Least integral upper bound (LUB) and greatest integral lower bound (GLB)
-
graph this inequality: \\( y \\leq \\frac{1}{4}x \\) plot points on the…
1. Plot the boundary line \(y = \frac{1}{4}x\) as a solid line (passing through \((0,0)\), \((4,1)\), etc.). 2. Shade the region below the line \(y=\frac{1}{4}x\).
-
q2. complete the table for $y = x^2 - 2x - 3$. \\begin{tabular}{|c|c|c|…
Completed table values: When $x=3$, $y=0$; when $x=4$, $y=5$ The graph is a parabola passing through the points $(-2,5), (-1,0), (0,-3), (1,-4), (2,-3), (3,0), (4,5)$, labeled as …
-
complete the table for $y = -2x + 5$. when $x = 0$, $y = $ when $x = 2$…
1. Completed table values: - When $x=0$, $y=5$ - When $x=2$, $y=1$ - When $x=-3$, $y=11$ - When $x=-2$, $y=9$ 2. For the graph of $y=-2x+5$: - Plot the points $(-3,11)$, $(-2,9)$,…
-
write the quadratic function of the parabola that has a vertex at (4, 3…
\( a\approx -0.11 \), so the quadratic function is \( f(x)=-0.11(x - 4)^2 + 3 \) (or with the exact fraction, but the question asks for the value of \( a \) rounded to the nearest…
-
which end behavior diagram describes the function, $f(x) = 3x^5 - 4x^4 …
The diagram with the left arrow pointing down and the right arrow pointing up (the second option among the given diagrams, typically represented as the one with the curve going fr…
-
1 multiple choice 20 points 5.2a which end behavior diagram describes t…
The end behavior diagram with both ends pointing downwards (the diagram with two downward - facing arrows)
-
analyze images here, each tree branch represents a branch of government…
The political cartoon likely uses visual representations (e.g., symbols for each branch, interactions like one branch “pushing back” on another) to illustrate the **checks and bal…
-
work 1) complete classwork & mastery check from unit 3 lesson 3 (15 min…
1. Positive; $m = \frac{2}{3}$ 2. Undefined; slope does not exist 3. Negative; $m = -\frac{1}{2}$
-
use technology to find points and then graph the function $y = |x - 5| …
The vertex of the graph of \( y=|x - 5|+2 \) is \((5,2)\). Some other points on the graph are \((4,3)\), \((6,3)\), \((3,4)\), \((7,4)\) etc. The graph is a V - shaped graph openi…
-
question use technology to find points and then graph the function $y =…
Points: (-2, 8), (-1, 6), (0, 4), (1, 6), (2, 8). The graph is a V - shaped graph with vertex at (0, 4), passing through the calculated points.
-
use technology to find points and then graph the function $y = 2|x - 4|…
The points to plot are (2, 2), (3, 0), (4, - 2), (5, 0), (6, 2) (and the graph is a V - shaped graph with vertex at (4, - 2), opening upwards with a vertical stretch factor of 2).
-
use technology to find points and then graph the function $y = -2|x - 4…
The five points are \((2,-6)\), \((3,-4)\), \((4,-2)\), \((5,-4)\), \((6,-6)\) (and the graph is a downward - opening V - shape with vertex at \((4,-2)\)).
-
what are the vertical and horizontal asymptotes of $f(x)=\frac{2x}{x - …
horizontal asymptote at $y = 2$, vertical asymptote at $x = 1$
-
how does the graph of ( g(x)=\frac{1}{x - 5}+2 ) compare to the graph o…
g(x) is shifted 5 units right and 2 units up from f(x).
-
what is the horizontal asymptote of the function $f(x)=\frac{(x - 2)}{(…
y = 0
-
todays work 1) complete classwork & mastery check from unit 3 lesson 3 …
$m$ 1. positive; $m = \frac{2}{3}$ 2. undefined; slope does not exist 3. negative; $m = -\frac{1}{2}$
-
which function has no horizontal asymptote? \\( f(x) = \\frac{2x - 1}{3…
$\boldsymbol{f(x)=\frac{2x^2}{3x-1}}$
-
which statement describes the behavior of the function $f(x)=\\frac{3x}…
The graph approaches -3 as x approaches infinity
-
what is the horizontal asymptote of $f(x)=\frac{-2x}{x + 1}$? $\\circ$ …
$y=-2$
-
which of the following is the function represented by the graph? consid…
$\boldsymbol{y=\frac{1}{x-5}+3}$ (the fourth option)
-
understanding translations of the parent function consider the followin…
It is shifted left 5 units and up 2 units from the parent function.
-
consider the function $f(x) = \\frac{c}{x}$, where $c$ is a nonzero rea…
The vertical asymptote: $x=0$ The horizontal asymptote: $y=0$ The domain: All real numbers except $x=0$ (or $\mathbb{R}\setminus\{0\}$) The range: All real numbers except $y=0$ (o…
-
consider the following function: $f(x)=\\frac{25 - x^2}{x^2 - 4x - 5}$ …
- $m = n$ - There is only one vertical asymptote. - $y = -1$ is the horizontal asymptote.
-
consider the following function: $f(x) = \\frac{2x}{3x^2 - 3}$ what is …
The graph approaches 0 as x approaches infinity. The graph approaches 0 as x approaches negative infinity.
-
consider the following equation: $f(x)=\frac{x^2 + 4}{4x^2 - 4x - 8}$ n…
For vertical asymptote reason: this is where the function is undefined For horizontal asymptote reason: $m = n$
-
consider the following equation: $f(x)=\frac{x^2 + 4}{4x^2 - 4x - 8}$ n…
Horizontal asymptote: $y=\frac{1}{4}$ Reason: $m = n$
-
assignment active identify asymptotes. consider the following equation:…
this is where the function is undefined
-
complete the table and then graph the function.\\( f(x) = 6x + 28 \\)\ …
### Completed Table: | $x$ | $f(x)$ | |-----|--------| | -6 | -8 | | -4 | 4 | | -3 | 10 | ### Graph Points: Plot the points $(-6, -8)$, $(-4, 4)$, and $(-3, 10)$ on the coordinate…
-
complete the table and then graph the function. $f(x) = 6x + 28$ | $x$ …
Completed table: | $x$ | $f(x)$ | |-----|--------| | $-6$ | $-8$ | | $-4$ | $4$ | | $-3$ | $10$ | Points to plot on the graph: $(-6, -8)$, $(-4, 4)$, $(-3, 10)$ (connect these poi…
-
determine whether the following sentence is true or false. $f \\circ g$…
False
-
let ( f(x) = 3x + 4 ) and ( g(x) = x^2 - x + 3 ). perform the function …
A. The domain of \( g(x) - f(x) \) is the set of all real numbers.
-
let $f(x) = 2x^2 + x - 11$ and $g(x) = x - 1$. perform the function ope…
A. The domain of \(f + g\) is the set of all real numbers.
-
let $f(x)=2x^2 + x - 11$ and $g(x)=x - 1$. perform the function operati…
\(2x^{2}+2x - 12\)
-
practice assignment 3.4 composition of functions score: 60/80 answered:…
$\boldsymbol{f(x) = \frac{1}{x}}$
-
practice assignment 3.4 composition of functions score: 50/80 answered:…
$g(x) = x + 2$
-
consider the table representing a rational function. x | -0.1 | -0.01 |…
The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.
-
where is the removable discontinuity of f(x) located? ○ x = -5 ○ x = 0 …
C. $x = -2$
-
which statement is true about the discontinuities of the function f(x)?…
There are asymptotes at $x = 7$ and $x=-\frac{4}{3}$
-
what is the vertical asymptote of the function? \\( x = -5 \\) \\( x = …
B. $x = -3$
-
where are the asymptotes for the following function located? $f(x)=\\fr…
x = -1 and x = 5
-
practice assignment 3.4 composition of functions score: 10/80 answered:…
$12x^2 + 16x + 5$
-
identify whether each value of x is a discontinuity of the function by …
$x=-3$: asymptote $x=-2$: asymptote $x=0$: hole $x=2$: neither $x=3$: neither $x=5$: neither
-
which functions have removable discontinuities (holes)? check all of th…
- $f(x)=\frac{x-1}{x^2-1}$ - $f(x)=\frac{x^2-9}{x^2+7x+12}$ - $f(x)=\frac{x+7}{x^2+5x-14}$
-
identify the vertical asymptote(s) of each function. check all of the b…
For $f(x)=\frac{x-8}{x^2-3x+2}$: x = 1, x = 2 For $f(x)=\frac{3x}{x^2-16}$: x = -4, x = 4
-
8-81. if $f(x)=x^2 + 7x - 9$, calculate the values in parts (a) through…
a. $-21$ b. $-10 + 7i$ c. $-22 + i$
-
8-79. consider the function $y = x^3 - 9x$. homework help a. what are t…
a. The zeros of the function are $x=-3$, $x=0$, and $x=3$. b. A sketch of the function will: - Cross the x-axis at $(-3,0)$, $(0,0)$, and $(3,0)$ - Have a local maximum at $(-\sqr…
-
simplify the radical expression.\\(sqrt3{1000x^{3}}\\)\ write your answ…
$10x$
-
12 write the radical function represented by the graph:
The radical function represented by the graph is \( y=\sqrt{x + 6}-1 \)
-
graph the function f(x)=|x - 7| + 2 use the graphing tool to graph the …
The graph of \( f(x)=|x - 7|+2 \) is a V - shaped graph with a vertex at \( (7,2) \), the right - hand arm has a slope of 1 and the left - hand arm has a slope of - 1, shifted 7 u…
-
use transformations to sketch a graph of f. f(x) = (x + 3)^3 use the gr…
To sketch the graph of \( f(x)=(x + 3)^3 \), shift the graph of \( y = x^3 \) 3 units to the left. Key points of the shifted graph can be found by shifting key points of \( y=x^3 …
-
directions: complete parts a and b to compare fractions. part a compare…
$\frac{2}{3} = \frac{3}{\boldsymbol{2}} \times \frac{2}{3} = \frac{\boldsymbol{6}}{\boldsymbol{6}}$ $\frac{3}{5} = \frac{\boldsymbol{2}}{2} \times \frac{\boldsymbol{3}}{\boldsymbo…
-
graph the function. $f(x) = sqrt{x} - 5$ choose the correct graph a. gr…
The correct graph is the one that represents a square - root - shaped graph (increasing, defined for \( x\geq0 \)) with a y - intercept at \((0, - 2)\). (Assuming from the options…
-
graph the function ( h(x) = sqrt{x} - 5 ) choose the correct graph. oa.…
The correct graph is the one that represents the function \( h(x)=\sqrt{x}-5 \), which starts at \( (0, - 5) \) and increases for \( x\geq0 \). If we assume the options are labele…
-
c. state the domain and range of the inverse function.\ 8 - 69.\ multip…
a. $10 + 11i$ b. $13$ c. $29$ d. $a^2 + b^2$
-
graph the function $f(x)=|x - 5|+1$ use the graphing tool to graph the …
The graph of \( f(x)=|x - 5|+1 \) is a V - shaped graph with vertex at \((5,1)\), shifted 5 units right and 1 unit up from the graph of \( y = |x| \), passing through points like …
-
multiple choice question mansa musa was best known for being ______. a.…
D. generous with his riches
-
graph the piecewise - defined function $f(x)=\begin{cases}-3 - x&\\text…
C
-
consider the functions $y = |x|$ and $y = |x + 8| - 2$. (a) sketch the …
### Part (a) - Sketching the Graphs #### Explanation for \( y = |x| \): The parent function \( y = |x| \) is a V - shaped graph. Its vertex is at the origin \((0,0)\). For \( x\ge…
-
fill in each blank with the appropriate response (remember that the ver…
The graph of \( y = 5\sqrt[3]{x + 4} \) can be obtained from the graph of \( y=\sqrt[3]{x} \) by shifting horizontally \( \boldsymbol{4} \) units to the \( \boldsymbol{\text{left}…
-
describe how the graph of $g(x)=\\sqrt3{x}+2$ can be obtained from the …
B. Shift the graph 2 units up
-
graph the following function $y = \\sqrt{x + 3}$ choose the best graph
C
-
7-46. consider the graph at right. the parent function of the graph is …
The equation of the vertical asymptote is \( x = 2 \). ### 7-46b
-
describe how the graph of $g(x)=\\frac{1}{4}x^3 - 2$ can be obtained fr…
C. Shrink vertically and shift down 2 units
-
solve the system of equations graphed on the coordinate axes below. y =…
$x=-3$, $y=2$ (or the point $(-3, 2)$)
-
5 ( f(x) = sqrt{x - 2} - 3 ) (a) graph the function.
The graph of \( f(x)=\sqrt{x - 2}-3 \) is a square - root curve starting at \( (2, - 3) \), passing through points like \( (3, - 2) \), \( (6, - 1) \), \( (11, 0) \) (and other po…
-
determine if the graph is a function. using the vertical line test, is …
Yes
-
based on the declaration of independence, which statement best describe…
B. Government is necessary in any society to protect the rights of the citizens.
-
graphing quadratic functions graph this function: ( f(x) = x^2 - 4x - 5…
1. $a=1$, $b=-4$ 2. Key points to graph: $(-1,0)$, $(0,-5)$, $(2,-9)$, $(4,-5)$, $(5,0)$; plot these points and draw a smooth upward-opening parabola through them.
-
for the function $f(x) = \\frac{8}{x + 5}$, find each of the following …
\(\frac{8}{p + 5}\)
-
for the function $f(x)=\\sqrt{2 - x}$, find each of the following (a) $…
\( \sqrt{-m - 2} \)
-
evaluate $5^{log_{5}(25)}$.
\(25\)
-
list the possible zeros. choose all that apply. \\( f(x) = 2x^3 + 7x^2 …
$\pm 1$, $\pm 2$, $\pm 3$, $\pm 5$, $\pm 6$, $\pm 10$, $\pm 15$, $\pm 30$, $\pm \frac{1}{2}$, $\pm \frac{3}{2}$, $\pm \frac{5}{2}$, $\pm \frac{15}{2}$
-
greek & latin word parts match the word part to its meaning. miss \t\t …
### Part 1: Greek & Latin Word Parts Matching To solve this, we recall the meanings of these word parts: - "miss" comes from Latin roots related to sending (e.g., "mission" means …
-
solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( x = 3 \), \( y = 0 \) (the point of intersection is \( (3,0) \)).
-
using the outline you created, write three paragraphs that tell readers…
The spread of transcontinental railroads and the telegraph during the Gilded Age transformed industrial development by eliminating the geographic barriers that had limited trade a…
-
answer the questions embedded in the video. you have unlimited attempts…
- enable the primary activities - are items that a firm must have to function
-
graph the line. y = 4x
To graph \( y = 4x \): 1. Recognize it has a y - intercept of \( 0 \), so it passes through \((0,0)\). 2. Use the slope \( 4=\frac{4}{1}\) (rise over run) to find another point: f…
-
graph the line. y = -2x
The line \( y=-2x \) is graphed by plotting the origin \((0,0)\) and other points (e.g., \((1, - 2)\), \((2,-4)\), \((-1,2)\) etc.) and drawing a straight line through them. The l…
-
question find ( f(-4) ). ( f(x) = 3x - ) (the rest of the function defi…
# Explanation: ## Step1: Identify the function formula The function is given as \( f(x) = 3x - \) (assuming there might be a typo, but from the context, likely \( f(x)=3x - c \), …
-
find the slope of the line graphed below.
\(\frac{5}{6}\) Wait, no, wait, I think I made a mistake. Wait, let's check the graph again. The line passes through (2, 2) and (-4, -3). The rise is 2 - (-3) = 5, run is 2 - (-4)…
-
graph the line. $y = -3x - 3$
The line \(y=-3x - 3\) is graphed by plotting the y - intercept \((0,-3)\) and using the slope \(-3\) to find another point (e.g., \((-1,0)\) or \((1,-6)\)) and then drawing a str…
-
60) the graph of a line is shown on the coordinate grid. which equation…
\(y - 2=\frac{3}{5}(x - 12)\) (the third option)
-
graph the line. y = -x + 4
The line \(y = -x+4\) is graphed by plotting the y - intercept \((0,4)\) and using the slope \(-1\) to find other points (e.g., \((1,3)\), \((-1,5)\)) and then drawing a straight …
-
question 21 2 pts what best describes the relationship between geograph…
A. The diverse geography of the colonies encouraged different economic pursuits.
-
use the graph of $f(x) = \\sqrt{x}$ to write an equation for the functi…
(a) \( \boldsymbol{y = \sqrt{x + 1} - 5} \) (b) \( \boldsymbol{y = \sqrt{x + 5} - 5} \) (Note: There might be a mistake in the grid interpretation, but based on the transformation…
-
fill in the table using this function rule. $y = -3x + 5$ | $x$ | $y$ |…
When \( x = -2 \), \( y = 11 \); when \( x = -1 \), \( y = 8 \); when \( x = 0 \), \( y = 5 \); when \( x = 1 \), \( y = 2 \) So the completed table is: | \( x \) | \( y \) | | --…
-
graph the line. $y = \\frac{4}{3}x$
The line $y=\frac{4}{3}x$ passes through the origin $(0,0)$ and $(3,4)$, extending infinitely in both positive and negative directions on the coordinate plane.
-
graph the line. y = 3x
The line $y=3x$ is graphed by plotting the origin $(0,0)$ and the point $(2,6)$, then connecting them with a straight line that extends across the coordinate plane.