Calcul
Limites, dérivées, optimisation et comportement des fonctions.
-
the graph shows g(x), which is a translation of f(x) = |x|. write the f…
\( g(x)=|x - 3| \)
-
evaluate: 15 + 7 × 2 - 11 + 35
\(53\)
-
evaluate: 17 - 5 × 4 ÷ 2
7
-
evaluate: 4 - 3 + 2 + 5 × 3
18
-
the graph shows g(x), which is a translation of f(x) = |x|. write the f…
\( g(x)=|x| + 8 \)
-
create a mathematical problem using 4 numbers with addition and subtrac…
\(5 + 3 - 2 + 1 = 7\) (Other valid combinations like \(10 - 5 + 3 - 1 = 7\) are also acceptable)
-
the graph shows g(x), which is a translation of f(x) = |x|. write the f…
\( g(x)=|x|-10 \)
-
the graph shows g(x), which is a translation of f(x) = |x|. write the f…
\( g(x) = |x - 5| \)
-
the graph shows g(x), which is a translation of f(x) = |x|. write the f…
\( g(x)=|x - 2| \)
-
the graph of a relation is shown. which of these values could be the sl…
\(\frac{7}{4}\), 3 (the options are \(\boldsymbol{\frac{7}{4}}\) and \(\boldsymbol{3}\))
-
the graph shows g(x), which is a translation of f(x) = |x|. write the f…
\( g(x) = |x - 2| \)
-
multiple choice 1 point jimmy carter was an engineer, a former naval of…
11. a peanut farmer. 12. Nixon Doctrine.
-
first, write a fraction equivalent to \\(\\frac{4}{5}\\) with a denomin…
$\frac{7}{10}$ is less than $\frac{8}{10}$; $\frac{7}{10}$ is less than $\frac{4}{5}$.
-
pauley graphs the change in temperature of a glass of hot tea over time…
D. It is nonlinear because linear functions increase or decrease at the same rate.
-
miguels steps in evaluating an expression are given below. $32\\div2(2^…
Miguel incorrectly multiplied before dividing in step 3. (The option: Miguel incorrectly multiplied before dividing in step 3.)
-
the table represents a linear function. what is the slope of the functi…
3
-
tracie rides the bus home from school each day. the graph represents he…
Tracie's bus travels towards her home at an average speed of \(\frac{1}{2}\) mile per minute. (The first option: Tracie's bus travels towards her home at an average speed of \(\fr…
-
how does the slope of g(x) compare to the slope of f(x)? the slope of g…
The slope of \( g(x) \) is less than the slope of \( f(x) \) (the corresponding option, e.g., if it's the second option: "The slope of \( g(x) \) is less than the slope of \( f(x)…
-
determine whether the series converges or diverges. show all your work …
(a): The series $\sum_{n = 1}^{\infty}\frac{n^{3}}{2n^{4}-1}$ diverges (using the Limit Comparison Test with $\sum\frac{1}{n}$). ### Part (b)
-
identify the sentence with correct comma usage. the report, was thoroug…
Blue box: After dinner, we went to the theater, and then to a coffee shop.
-
three points of a function are graphed. which statement describes the f…
The function is linear but is not a direct variation function.
-
identify the sentence with correct comma usage. the report, was thoroug…
The green - colored sentence: "After dinner, we went to the theater, and then to a coffee shop."
-
12. give the limit definition of derivative and use it to find $f(1)$ f…
The limit definition of the derivative at \( x = a \) is \( f'(a)=\lim_{h ightarrow0}\frac{f(a + h)-f(a)}{h} \), and \( f'(1)=\boxed{-1} \)
-
question solve. 6(x - 5) = -24 answer attempt 1 out of 2 x =
\( x = 1 \)
-
answer the questions below about the quadratic function. $f(x) = 3x^2 -…
(a) Minimum (b) \(x = 5\) (c) The minimum value is \(-4\)
-
the graph of the exponential function f(x) = 3^x is shown. domain: ineq…
### Domain - Inequality: \( -\infty < x < \infty \) - Set Notation: \( \{x\mid x\in\mathbb{R}\} \) - Interval Notation: \( (-\infty, \infty) \) ### Range - Inequality: \( y > 0 \)…
-
arning goal 7.4: students will use number lines to represent and perfor…
for Question 6: \(-2 + (-6) = -8\)
-
key idea how can i understand the size of a fraction greater than 1? i …
To understand a fraction greater than 1 (improper fraction), write it as a whole number (if numerator is multiple of denominator, e.g., $\frac{4}{2}=2$) or mixed number (e.g., $\f…
-
learning goal 7.3: students will use integer chips to represent and per…
D. Debbie withdrew $8 from her account and deposited $12. ### Question 2
-
find the slope of the line through the pair of points. 19. (5, 0) and (…
19. Slope \( = -\frac{2}{9} \) 20. Slope is undefined 21. Slope \( = \frac{8}{19} \)
-
an english teacher is requiring her students to read a 5-page article, …
The linear function is \( y=x + 5\) and the y - intercept is 5.
-
learning goal 2.8: students will divide positive fractions. find each q…
$\frac{9}{20}$ ### Problem 5: $\boldsymbol{\frac{5}{6} \div \frac{3}{8}}$
-
y = 11x x + y = 60 a group of related linear equations is called a syst…
\((5,55)\)
-
learning goal 2.6: students will divide multi-digit decimals to the tho…
1. \( 60.8 \) 2. \( 12.9 \) 3. \( 573 \) 4. \( 5.34 \)
-
18. slope y-intercept (b) = equation: grid with a line
slope \(=\frac{1}{2}\), y - intercept \((b)=-1\), equation: \(y = \frac{1}{2}x-1\)
-
given: $f(x) = x^2, g(x) = x^2 + 5$ which statement is true about the g…
The graph of \( g(x) \) is shifted 5 units up from the graph of \( f(x) \)
-
question 7 of 10 material that has a noncommercial license might have w…
C. CC BY - NC
-
question 5 of 10 a programmer is debugging an action - adventure game t…
C. No, because making expected moves is not likely to test the game's limits
-
15 ces deux graphiques présentent une fonction affine de variation part…
### Partie a) Valeur initiale des fonctions La valeur initiale d’une fonction affine \( y = f(x) \) est la valeur de \( f(x) \) lorsque \( x = 0 \) (c’est-à - dire l’ordonnée à l’…
-
the table shows the approximate height of an object x seconds after the…
\(-2.75\) (the option corresponding to - 2.75, which is the first option in the list of choices)
-
draft - algebra 1 dol 3 review a water tank is being drained at a stead…
B. \( -\frac{1}{2} \)
-
determine the equation for the cubic function shown below. you may leav…
\(y=-x(x + 1)(x - 2)\)
-
tiana 28 + 2 + 54 yusuf 28 + 2 + 52 whose expression has the same value…
For the explanation: Yusuf's expression is correct because \(2 + 52=54\), so \(28+2 + 52=28+(2 + 52)=28 + 54\) (by the associative property of addition). For the blank: \(54\)
-
learning goal 2.5: students will multiply multi-digit decimals to the t…
1. \( (18.3)(7.9) = \boldsymbol{144.57} \) 2. \( (9.25)(12.7) = \boldsymbol{117.475} \)
-
tiana and yusuf each write an expression to help make 28 + 54 easier to…
Yusuf (the option corresponding to Yusuf, e.g., if the options are A. Tiana, B. Yusuf, C. Both, D. Neither, then the answer is B. Yusuf) Wait, in the given options, the buttons ar…
-
learning goal 2.5: students will multiply multi-digit decimals to the t…
1. \(\boldsymbol{137.25}\) 2. \(\boldsymbol{117.475}\)
-
which expression is equivalent to 36 + 47? 40 + 43 now the problem is e…
For the equivalent expression, \(40 + 43\) is equivalent to \(36 + 47\) (since \(36+47 = 83\) and \(40 + 43=83\)). For the key idea blanks: the first dropdown should be "taking" (…
-
9. the function, its 1st and 2nd derivatives are given $f(x) = \\frac{4…
- **Intercepts**: \( (0, 0) \) (both x and y-intercept). - **Asymptotes**: Horizontal asymptote \( y = 0 \), no vertical asymptotes. - **Local Max/Min**: Local max at \( (1, 2) \)…
-
to make 36 + 47 easier to solve, jana breaks apart the second addend, 4…
B. \( 40 + 43 \) (assuming the options are labeled A: \( 36 + 43 \), B: \( 40 + 43 \), C: \( 40 + 47 \))
-
draw a line representing the ise\ and a line representing the un\ of th…
\(-5\)
-
a stockbroker uses a computer program to design trades for clients. des…
B. 2
-
to make $48 + 34$ easier to solve, lou decides to first add on from 48 …
\(82\)
-
lou wants to make 96 + 56 easier to solve in his head. he decides to ad…
152
-
lou wants to make 96 + 56 easier to solve in his head. he decides to ad…
52
-
-3×(-5) * your answer 9+(-12) * your answer -6+(-10) * your answer 15+(…
\(-3\times(-5)=15\) \(9+(-12)=-3\) \(-6+(-10)=-16\) \(15+(-2)=13\) \(-8 + 10=2\) \(11+(-3)=8\)
-
part a complete the area model for 588 \\div 6. enter 48, 9, 90, 8, 540…
Assuming the area model has boxes for divisor (6), partial dividends (540,48), partial quotients (90,8), the filled boxes are 540, 48, 90, 8 (order depends on model structure, but…
-
solve the system of equations graphed on the coordinate axes below. $y …
The solution is \( (0, -1) \)
-
2) write a piecewise function for the graph below. (4pts)
\[ f(x) = \begin{cases} x - 4 & \text{if } x \leq 1 \\ 3x & \text{if } x > 1 \end{cases} \]
-
solve the system of equations graphed on the coordinate axes below. $y …
The solution is \( (0, 8) \)
-
homework #8 (two pages) *** put points into a table if that helps!*** f…
False ### Question 2: The slope of a line that passes through the points (3,6) and (7,16) is...
-
what is the inverse of the given relation? 71. $y = 3x + 9$ a. $y = \\f…
d. \( y = \frac{1}{3}x - 3 \) ### Question 72
-
question the given function $f(x)$ is defined on the interval $-9, 9$ a…
\(-9\)
-
the given function f(x) is defined on the interval -9, 9) and represent…
The point is a local maximum
-
section 3.6 adding and subtracting decimals whether we are adding or su…
(a) \(13.1 + 2.4=\boldsymbol{15.5}\), Estimation check: \(13+2 = 15\) (b) \(4.52+3.09=\boldsymbol{7.61}\), Estimation check: \(4 + 3=7\) (c) \(3.51+9.73=\boldsymbol{13.24}\), Esti…
-
the given function $f(x)$ is defined on the interval $-9, 9$ and repres…
The point is an absolute minimum, The point is a local minimum (Note: Depending on the graph's exact \(y\)-values, but based on the analysis, the circled point is the absolute min…
-
write each as a fraction. 13) 2.2 15) 0.08 17) 1.76
For 2.2: Simplified fraction is $2\frac{1}{5}$ (or $\frac{11}{5}$); Given answer $2\frac{2}{10}$ simplifies to $2\frac{1}{5}$. For 0.08: Simplified fraction is $\frac{2}{25}$; Giv…
-
the given function f(x) is defined on the interval -9, 9 and represente…
The point is a relative maximum
-
question the given function ( f(x) ) is defined on the interval ( -9, 9…
The point is a relative maximum
-
learning goal 1.2: students will solve real - world problems involving …
\( 3\frac{21}{40} \) ### Problem 9: \( 4\frac{1}{4} + 6\frac{7}{10} \)
-
the graph of $y = f(x)$ is graphed below. what is the end behavior of $…
As \( x \to \infty \), \( f(x) \to \infty \) and as \( x \to -\infty \), \( f(x) \to -\infty \) (the corresponding option among the given choices which has this description)
-
a paragraph proof contains a set of sentences explaining the steps need…
The top - right card (contains a set of sentences explaining the steps needed to reach a conclusion)
-
question the graph of $y = f(x)$ is graphed below. what is the end beha…
As \( x \to \infty \), \( f(x) \to \infty \) and as \( x \to -\infty \), \( f(x) \to -\infty \) (the corresponding option among the choices, for example, if the third option is "a…
-
the graph of $y = f(x)$ is graphed below. what is the end behavior of $…
As \(x ightarrow\infty,y ightarrow-\infty\) and as \(x ightarrow-\infty,y ightarrow-\infty\) (the first option among the given choices)
-
find all the zeros of the function. (enter your answers as a comma - se…
$\frac{3}{4}, 5i, -5i$
-
the dairy farm where you work has ordered a cylindrical storage tank fo…
C. 2,501
-
a two - column proof contains a set of sentences explaining the steps n…
The middle box in the right - hand group (the one with text "contains a table with a logical series of statements and reasons that reach a conclusion")
-
question plot all intercepts and asymptotes of the following rational f…
- Vertical Asymptote: \(x=-4\) - Horizontal Asymptote: \(y = - 1\) - x - intercept: \((-6,0)\) - y - intercept: \((0,-\frac{3}{2})\) To plot: - Draw the vertical line \(x=-4\) (ve…
-
you rent an apartment that costs $1,800 per month during the first year…
\(\$2200\)
-
question plot all intercepts and asymptotes of the following rational f…
- Vertical Asymptote: \( x=-5 \) - Horizontal Asymptote: \( y = 3 \) - y - intercept: \( y=\frac{16}{5}=3.2 \) (or the point \( (0,3.2) \)) - x - intercept: \( x =-\frac{16}{3}\ap…
-
all intercepts and asymptotes of the following rational function. if yo…
s: - Vertical Asymptote: \(x=-6\) - Horizontal Asymptote: \(y = - 1\) - x - intercept: \((-4,0)\) - y - intercept: \((0,-\frac{2}{3})\)
-
#7-9 graph the equation 7) $y = \\frac{5}{3}x$ #10-12 c
To graph \( y=\frac{5}{3}x \): 1. Plot the y - intercept: Since \( b = 0 \), plot the point \((0,0)\). 2. Use the slope \( m=\frac{5}{3}\): From \((0,0)\), move 3 units right and …
-
consider the leading term of each polynomial function. what is the end …
d. The leading term is \(-3x^3\). Since \( n \) is odd and \( a \) is negative, the end behavior is down and up.
-
question plot all intercepts and asymptotes of the following rational f…
- Vertical Asymptote: \( x=-5\) - Horizontal Asymptote: \( y = 6\) - x - intercept: \( x=-\frac{35}{6}\) (or \(x\approx - 5.83\)) - y - intercept: \( y = 7\) (point \((0,7)\))
-
question if $a_1 = 2$ and $a_{n+1} = (a_n)^2 + 3$ then find the value o…
\(52\)
-
15. function f and g are shown in the coordinate plane below. the parab…
\( g(x)=x^2-4x - 10 \)
-
what is the end behavior of the radical function represented by this gr…
B. As \( x \) decreases in value, \( f(x) \) decreases in value. As \( x \) increases in value, \( f(x) \) increases in value.
-
use partial quotients to find the quotient. drag numbers to complete th…
The completed calculation uses quotient 227, with subtraction blanks filled as 2 and 4. The final dividend is 870000.
-
which of the following expressions does not have a remainder of 6? a ( …
C. 619 ÷ 8
-
select all of the equations in which the remainder is 3 a ( 51 div 8 = …
A. 51 ÷ 8 = 6 R3, E. 3180 ÷ 9 = 353 R3
-
hamlet, act iv, scenes i-iv the tragedy of hamlet, prince of denmark, a…
A. It shows that monarchs must worry about how the public perceives them.
-
use graphing to find the solutions to the system of equations. 36. \\be…
b. The graph with intersection points \((-5, -3)\) and \((-1, 1)\)
-
part a which multiplication fact can be used to help find 5,400 divided…
D. 9×6=54
-
state the transformations, domain/range, vertical and horizontal asympt…
For the function \( f(x)=\frac{1}{x - 5}+2 \): a. Transformations: Horizontal shift right by 5 units, vertical shift up by 2 units. b. Domain: \( (-\infty,5)\cup(5,\infty) \) c. R…
-
plot all intercepts and asymptotes of the following rational function. …
- Vertical Asymptote: \(x = 4\) - Horizontal Asymptote: \(y=-1\) - x - intercept: \((8,0)\) - y - intercept: \((0,-2)\) To plot: - Draw a vertical dashed line at \(x = 4\) (vertic…
-
35. state the transformations, domain/range, vertical and horizontal as…
### Part a (Transformations) - Horizontal shift: Left by 1 unit. - Reflection: Over the \( x \)-axis. - Vertical shift: Down by 5 units. ### Part b (Domain) \( (-\infty,-1)\cup(-1…
-
part b what is 836 divided by 4? enter your answer in the box
21.5
-
3. solve. a. 10 tens − 1 ten 1 tenth b. 3 − 22 tenths c. 37 tenths − 1 …
89.9
-
part a complete the area model for 836 ÷ 4. enter 200, 9, 90, 400, 800,…
209
-
7. prove the following identities. a.) \\( \\sec \\theta = \\tan \\thet…
a.) The identity is proven. b.) The identity is proven.
-
the second derivative of a function $f$ is given by $f(x) = x(x - 3)^5(…
B. 0 and 3 only