Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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given the function $f(x) = x^2 - 3x - 5$, determine the average rate of…
$-2$
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14. given the function below, fill in the table of values and use the t…
### Completed Table: | $x$ | $4x$ | $y=4x-4$ | |-----|------|----------| | $-3$ | $-12$ | $-16$ | | $-2$ | $-8$ | $-12$ | | $-1$ | $-4$ | $-8$ | | $0$ | $0$ | $-4$ | | $1$ | $4$ |…
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given the function $h(x) = -x^2 + 5x + 8$, determine the average rate o…
$-2$
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given the function $h(x) = x^2 + 4x - 4$, determine the average rate of…
$-3$
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given the function $h(x) = x^2 - 6x + 6$, determine the average rate of…
$1$
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match each graph below with the appropriate function. a) $f(x)=3+\\log_…
$\boldsymbol{f(x) = -5 + \log_2 x}$
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let $f(x)=\\sqrt{x+1}$ and $g(x)=2x-3$. find $f \\circ g$ and $g \\circ…
a) $(f \circ g)(x) = \sqrt{2x - 2}$ b) $(g \circ f)(x) = 2\sqrt{x+1} - 3$
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show all your workfor questions 1 – 4, given the graph of a polynomial …
Factored form: $\boldsymbol{y = -\frac{1}{2}(x+2)^2(x-1)(x-3)}$ Standard form: $\boldsymbol{y = -\frac{1}{2}x^4 + \frac{9}{2}x^2 + 2x - 6}$
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if $f(x) = x^2 - 2$ and $g(x) = x + 4$, find $(f \\circ g)(3)$ and $(g …
a) $(f \circ g)(3) = 47$ b) $(g \circ f)(-3) = 11$
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select the correct answer. what is the range of the function represente…
C. $y\geq1$
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an object travels along a straight line. the function $s(t) = 5\\tan t$…
\(10\sec^2 t \tan t\)
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6. which one of the representations below corresponds to the solution s…
C) <corresponding graph with shaded region below solid line and above dashed parabola>
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$f(x) = 3x^2 - 6x + 9$. the given equation defines the function $f$. at…
(1, 6)
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25 26 sat simulation grade 11 math part 1 question 17 $12(x - 6) = 4(y …
3
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b. $5enclose{longdiv} {90.5}$
$18.1$
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find the inverse function of the function $f(x) = 6x + 7$. answer $\big…
A. $f^{-1}(x) = \frac{x-7}{6}$
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write the equation of the trigonometric function shown in the graph.
\( y = 5\cos(2x) \)
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use transformations to graph the function. $m(x) = 6\\sqrt3{x}$
The graph of $m(x)=6\sqrt[3]{x}$ is a vertical stretch by a factor of 6 of the parent cube root function $f(x)=\sqrt[3]{x}$, passing through points $(-8,-12)$, $(0,0)$, and $(8,12…
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is the inverse a function? $h(x) = \\sqrt{x + 7}$ yes no
yes
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find the inverse function of the function $f(x) = 2x + 3$. answer $\big…
$f^{-1}(x) = \frac{x-3}{2}$
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use a truth table to determine whether the two statements are equivalen…
The statements are not equivalent.
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what is the value of $12.5 - \\frac{31}{2} + 1\\frac{1}{4}$? a $-20.25$…
D. $-\frac{7}{4}$
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graph the equation shown below by transforming the given graph of the p…
To graph \( y = |x|+3 \), shift the graph of \( y = |x| \) (with vertex at \( (0,0) \), points like \( (1,1),(-1,1),(2,2),(-2,2) \) etc.) 3 units upward. The new vertex is \( (0,3…
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multiply. write your answer as a fraction or as a whole or mixed number…
$42\frac{7}{12}$ or $\frac{511}{12}$
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for each problem, find the: x and y intercepts, x-coordinates of the cr…
1) x-intercepts: $(0, 0), (3, 0)$; y-intercept: $(0, 0)$; Critical points: $x = 0, 2$; Increasing: $(0, 2)$; Decreasing: $(-\infty, 0), (2, \infty)$; Inflection point: $x = 1$; Co…
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question given the definitions of $f(x)$ and $g(x)$ below, find the val…
47
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solve for c. approximate by rounding your answer to three decimal place…
$c = 1.809$ $n = 2.046$
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read the quotation from abigail adams. it is from a letter she wrote he…
Truth would agree with Adams's sentiment that women deserve to be represented in the Constitution.
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question the graph of $y = f(x)$ is shown below. find all values of $x$…
$x < -3$ or $x > 5$
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how did regents v. bakke change affirmative action policies?○ it struck…
It struck down the use of strict racial quotas.
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1) is the inverse a function? $f(x) = (x - 6)^3$ yes no 2) write the in…
For the first question: yes For the second question: \(1\cdot\sqrt[3]{1x + 0} + 6\) (or simplified as \(\sqrt[3]{x}+6\))
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t this graph: hat is the equation of the line in point-slope form? se t…
$y - (-60) = \frac{1}{5}(x - (-10))$ (or simplified as $y + 60 = \frac{1}{5}(x + 10)$)
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18 mark for review the functions $f$ and $g$ are given by $f(\\theta)=\…
D. $\frac{3\pi}{2} < \theta < 2\pi$
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the functions $f(x)$ and $g(x)$ are both continuous functions. the func…
The maximum value of $f(x)$ is equal to the maximum value of $g(x)$ (both are 6).
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question the graph of $y = f(x)$ is shown below. find all values of $x$…
All real numbers $x$ such that $x < -2$ or $x > 5$, or in interval notation: $(-\infty, -2) \cup (5, \infty)$
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1) find the inverse of the function. $g(x) = \\frac{2x - 8}{4x + 5}$ 2)…
$\boldsymbol{\frac{-5x - 8}{4x - 2}}$ (or equivalent $\boldsymbol{\frac{5x + 8}{-4x + 2}}$)
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question determine the domain on which the following graph of $f(x)$ is…
The domain where $f(x)$ is negative is $3 < x < 7$ (or in interval notation, $(3, 7)$)
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13 mark for review the function $h$ is defined by $h(\\theta)=a\\cos(b\…
D. $a = 4$ and $b = 2$
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12 mark for review the functions $f$ and $g$ are given by $f(\\theta)=2…
B. $\frac{2\pi}{b} = \frac{1}{2}(2\pi)$
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4 the periodic function $y = g(x)$ has a period of 6. it is known that …
D. \(g(5)=g(23)\)
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the graph of $f(x)$ is shown. which graph represents $g(x)=f(2x)$?
The third option (the graph with a narrow "W" shape, vertices at $x=-1, 0, 1$ with the same vertical range as $f(x)$)
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question for the function $f(x) = \\frac{3x+10}{4-5x}$, find $f^{-1}(x)…
$f^{-1}(x)=\frac{4x-10}{5x+3}$
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multiply: 3.7 × 0.1
0.37
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add. 34.4 + 30.28 \\overline{\\square}
64.68
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inverse of rational functions score: 0/2 penalty: none question for the…
$\frac{9}{4 - 2x}$
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question find the inverse function in slope-intercept form (mx+b): $f(x…
$f^{-1}(x) = -\frac{1}{3}x + 1$
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writing equations of linear functions to write the equation of a linear…
1. $y = \frac{1}{3}x + 14$ 2. $y = -5x + 3$ 3. $y = 1.75x - 1$ 4. $y = \frac{2}{5}x - 2$ 5. Yes, because the point $(0, -7)$ is the y-intercept ($b = -7$). Since the slope $m = -7…
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multiply. write your answer as a fraction or as a whole or mixed number…
$\frac{783}{8}$ or $97\frac{7}{8}$
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$y=mx+b$ 4) $y=-\frac{2}{3}x-1$ 5) $y=-x-1$ 6) $y=-2x-4$ 7) $y=-\frac{1…
1. For $y=-\frac{2}{3}x-1$: Line through $(0,-1)$ and $(-1.5, 0)$ 2. For $y=-x-1$: Line through $(0,-1)$ and $(-1, 0)$ 3. For $y=-2x-4$: Line through $(0,-4)$ and $(-2, 0)$ 4. For…
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graph the line. $y=3x$
The line $y=3x$ is a straight line passing through the origin $(0,0)$ with a slope of 3, passing through points like $(1,3)$ and $(-1,-3)$, extending infinitely in both directions…
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omar wants to use a graph to solve the equation below.$log_{6}x = log_{…
$y_1 = \frac{\log x}{\log 6}, y_2 = \frac{\log(x+4)}{\log 2}$ (the fourth option)
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evaluate functions and inverses from tables (level 2) score: 0/1 penalt…
$-73$
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10 minutes remaining | + unlimited extra time 3 of 10 questions remaini…
burial
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evaluate functions and inverses from tables (level 1) score: 1/2 penalt…
$0$
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which statement explains whether the equation is correct? the equation …
The equation is correct since $(\log_{2}10)(\log_{4}8)(\log_{10}4)=\frac{\log 10}{\log 2}\cdot\frac{\log 8}{\log 4}\cdot\frac{\log 4}{\log 10}=\frac{\log 8}{\log 2}=3$
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evaluate functions and inverses from tables (level 1) score: 0/2 penalt…
$-4$
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tenisha solved the equation below by graphing a system of equations. $l…
B. (1.0, 1.4)
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a student solved the equation below by graphing. $log_{6}(x-1)=log_{2}(…
The curves do not intersect.
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graph the line. $y=2x-7$
The line $y=2x-7$ is graphed by plotting the y-intercept $(0, -7)$, using the slope $\frac{2}{1}$ to find a second point $(1, -5)$, and drawing a straight line through these point…
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express your answer as a polynomial in standard form. $f(x) = x + 2$ $g…
$3x^2 + 18x + 16$
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question express your answer as a polynomial in standard form. $f(x)=3x…
$3x^2 - 30x + 86$
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express your answer as a polynomial in standard form. $f(x) = x - 4$ $g…
$2x^2 + 2x + 10$
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express your answer as a polynomial in standard form. $f(x)=x-4$ $g(x)=…
$3x^2 + 6x + 5$
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question 7:a water company offers industrial users two different packag…
C. over 1,800,000 thousand gallons
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function p is a linear function with a y-intercept of 6. function q is …
D. The functions will have different outputs when x = 0.
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match the differential equation with its direction field (labeled i-iv)…
1. Matching: - $y'=y-1$ $ ightarrow$ III - $y'=y^2-x^2$ $ ightarrow$ I - $y'=y-x$ $ ightarrow$ II - $y'=y^3-x^3$ $ ightarrow$ IV 2. For $y'=1-y$: - (a) Curve starting at $(0,-1)$,…
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function p is a linear function with a y-intercept of 5. function q is …
The functions will have different outputs when x = 0
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the impact of social media on you use the information below to answer t…
Establish boundaries and set time limits.
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in each part, match the differential equation with the direction field …
(a) Matches Field V (b) Matches Field III (c) Matches Field II (d) Matches Field VI (e) Matches Field I (f) Matches Field IV
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multiplying decimals part 1: convert to fractions — solve the problems …
Part 1: 1. 0.012 2. 0.12 3. 0.045 4. 0.9 5. 0.025 Part 2: 1. 15 2. 12.3 3. 0.1089 4. 53.94 5. 0.5394
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domain : ______ range : ______
Domain: $x > 3$ or $(3, \infty)$ Range: $y > 3$ or $(3, \infty)$
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chapter 5 homework saved help save & exit submit check my work 9 0.83 p…
### 1. Contribution Format Income Statement | | White | Fragrant | Loonzain | Total | |--|--|--|--|--| | Percentage of total sales | 32% | 40% | 28% | 100% | | Sales | $236,800 (1…
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student name:_______pericexit ticket 5 minutes (0:45-0:50)student taskt…
Islamic Spain (al-Andalus) was a limited but notable example of religious tolerance for its medieval context: 1. **Points supporting tolerance**: During its Golden Age (8th–11th c…
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structure select the domain and range of the function in interval notat…
Domain: $(-\infty,0) \cup (0,\infty)$ Range: $(-\infty,\infty)$ The function is one-to-one and onto, and it is continuous.
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20/20 $f(x)=x^2-5x$ $f(4)=$ -4 126 24 84
-4
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structure select the domain and range of the function in interval notat…
Domain = $(-\infty, \infty)$ Range = $(-\infty, \infty)$ The function is one-to-one and continuous
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19/20 $f(x)=4x+5$ $f(4)=$ 21 -11 -31 25
21
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name additional practice 11-1 10 more and 100 more: use place-value mod…
1. $\boldsymbol{191 + 10 = 201}$ $\boldsymbol{191 + 100 = 291}$ 2. $\boldsymbol{263 + 10 = 273}$ $\boldsymbol{263 + 100 = 363}$ 3. $\boldsymbol{275 + 10 = 285}$ $\boldsymbol{275 +…
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$2^{2}+8÷4=$ $6^{2}×3+9=$ $6+6^{3}-12=$ $8×12^{3}+11=$ $8^{2}×2÷4=$ $7^…
$6^2 \times 3 \div 9 = 12$ $6 + 6^3 - 12 = 210$ $8 \times 12^3 + 11 = 13835$ $8^2 \times 2 \div 4 = 32$ $7^3 + 12 \div 3 = 347$ $3 + 9^2 - 5 = 79$ $5 + 9 \times 3^3 = 248$ $6^3 - …
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19/22 $f(x)=x^2-5x$ $f(4)=$ -4 126 24 84
-4
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k5 learning pemdas (3 terms) order of operations worksheet solve the fo…
$11 + 3^3 - 7 = 31$ $5^2 - 7 \times 2 = 11$ $2^2 + 8 \div 4 = 6$ $9^2 \times 3 \div 9 = 27$ $6 + 6^3 - 12 = 210$ $8 \times 12^2 + 11 = 1163$ $8^2 \times 2 \div 4 = 32$ $7^2 + 12 \…
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4/22 identify the graph. non-linear functions linear function not a fun…
Non-Linear Functions
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a new car is purchased for 19000 dollars. the value of the car deprecia…
3560.60 dollars
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a new car is purchased for 17000 dollars. the value of the car deprecia…
$\$2551.70$
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evaluate $f(x) = 4x - 7$ when $x = 3$. use the keypad to enter your ans…
5
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$f(x) = 5^{x}$ which of the followings is equal to $g(x)$? a. $5^{(x - …
D. $5^{(x+3)}-2$
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an exponential function, $f$, passes through the points $(-3,5)$ and $(…
D. (-3,9) and (-1,1)
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select the correct answerthe table below shows points on the graphs of …
vertical stretch of 3
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believed in limited government intervention promoted direct aid to indi…
- Believed in limited government intervention: Herbert Hoover - Promoted direct aid to individuals and families: Franklin Roosevelt - Relied on voluntary cooperation from business…
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select all the correct answers. which two statements describe the compr…
- It called for the creation of the Senate and the House of Representatives. - It proposed a solution to a dispute over legislative seats in small and large states.
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in 2009, usain bolt, a sprinter from jamaica, set the world record in t…
(4) $\frac{100\ \text{m}}{9.58\ \text{sec}} \cdot \frac{60\ \text{sec}}{1\ \text{min}} \cdot \frac{1\ \text{km}}{1000\ \text{m}} \cdot \frac{60\ \text{min}}{1\ \text{hr}}$ --- ###…
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1. complete the table. $y = x^2 + 2x - 8$ $x$ $y$ -2 -8 0 -8 -3 -5 1 -5
| $x$ | $y$ | |-----|-----| | -2 | -8 | | 0 | -8 | | -3 | -5 | | 1 | -5 |
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allows individuals to make their own economic decisions. 2. the choices…
B. Supply and demand determine their success or failure. --- ### For Question 3:
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b. debating the limits of online speech. schools have to protect studen…
A. Y when sexist or racist comments are posted about other students B. N when students criticize the administration and its decisions C. Y when students demean or make fun of a te…
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a term multiplied by itself, like 4 in $4^2$, is called a number. under…
1. square 2. quadratic equations (or polynomial factoring, calculus)
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fill out the table for each equation provided. 5. $y = 3^{(x+4)}-1$ 6. …
| | $y = 3^{(x+4)} - 1$ | $y = -8(0.5)^{(x+2)} + 7$ | |---|---|---| | Growth Or Decay? | Growth | Decay | | Horizontal Asymptote | $y=-1$ | $y=7$ | | Transformations | Left 4, dow…
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$xlnsqrt{x}=1$
The real solution is $\boldsymbol{x = e^{W(2)}}$ (or approximately $\boldsymbol{2.345}$), where $W$ denotes the Lambert W-function.
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12 which function models the value in $x$ years of an investment at 3% …
C. $150(1 + 0.0075)^{4x}$
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the equation of a line given the slope and a point write the equation o…
a) $y=4x+22$ b) $y=\frac{1}{4}x+\frac{3}{4}$ c) $y=-\frac{3}{2}x-1$ d) $y=3x-10$
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the graph of $y = \\sqrt3{x}$ is shown below.which of the following is …
B. <The graph that shifts left 6 units and has vertical stretch by 3, passing through (-6,0) and rising to (2,6)>