Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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if $f(x) = 6x - 4$, what is $f(x)$ when $x = 8$? ○ 2 ○ 16 ○ 44 ○ 52
C. 44
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which statement is true regarding the graphed functions?\ options: $f(0…
$f(0) = g(0)$
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which represents the inverse of the function $f(x) = 4x$? $h(x) = x + 4…
D. $h(x)=\frac{1}{4}x$
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what is the inverse of the function $f(x) = \\frac{1}{9}x + 2$? $\\circ…
B. $h(x) = 9x - 18$
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which parent functions have negative y-values? □ absolute value □ linea…
B. Linear, C. Greatest Integer, D. Cubic, F. Rational
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graph the function f(x) = cos(x - π).
The graph of $f(x)=\cos(x - \pi)$ (which is equivalent to $y =-\cos x$) is a cosine - shaped curve with amplitude $1$, period $2\pi$, passing through points like $(0,-1),(\frac{\p…
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which parent functions have extrema? square root greatest integer expon…
Quadratic, Absolute Value
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differentiate $6x^{\\frac{1}{3}}$. a. $6x^{\\frac{1}{3}}$ b. $4x^{\\fra…
d. $4x^{-\frac{1}{3}}$
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the graph of quadratic function m is shown on the grid. if $p(x) = x^2$…
$-3$
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quadratic transformatl... charish coleman 18 of 20 next if $k(x) = x^2$…
$3$
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if $t(x) = x^2$ and $w(x) = t(x - n)$, what is the value of $n$? the gr…
$-5$
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#22 a student graphed the linear parent function $f$ and $h(x) = \\frac…
The graph of $h$ is less steep than the graph of $f$.
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function w is in the form $y = ax^2 + c$. if the value of $a$ is less t…
The top-left parabola (opens downward, has a $y$-intercept at positive $y=3$)
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given $y = x^2 + 10x + 8$, determine the turning point. a. $(-5,17)$ b.…
d. (-5,-17)
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differentiate $6x^{\\frac{2}{3}}$. a. $4x^{-\\frac{2}{3}}$ b. $4x^{-\\f…
b. $4x^{-1/3}$
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the graph of $f(x) = x^2$ is reflected over the x-axis and compressed h…
The top-left (green) graph
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the graph of $f(x)=x^2$ was transformed to create $g(x)=(x + 3.5)^2 - 4…
B. A vertical shift down 4 units D. A horizontal shift to the left 3.5 units
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which is the graph of $y = \\frac{2}{x + 1} - 6$?
The graph shown (the blue - curved graph with vertical asymptote near \( x=-1 \) and horizontal asymptote near \( y = - 6 \), passing through \( (0,-4) \)) is the graph of \( y=\f…
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which is the graph of $y = \\frac{2}{x + 1} - 6$?
The graph shown (the blue - curved graph with vertical asymptote near \( x=-1 \) and horizontal asymptote near \( y = - 6 \), passing through \( (0,-4) \)) is the graph of \( y=\f…
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find the value of $f(-5)$. $y = f(x)$
8
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what is the value of $ln e^4$? 1 2 0 4
4
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solve the following system of equations graphically on the set of axes …
The solution is \((3,1)\) (the point of intersection of the two lines \(y = 3x - 8\) and \(y=-\frac{1}{3}x + 2\)).
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solve the system of equations graphed on the coordinate axes below. $y …
The solution is \( (0, 8) \)
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type the correct answer in the box. use numbers instead of words. what …
162
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graph the function $f(x) = -4(x + 3)^{2} + 2$. plot the vertex. then pl…
Vertex: \((-3, 2)\), Another point: \((-2, -2)\) (plot these points on the graph to sketch the parabola)
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graph the function $f(x) = -4(x + 3)^{2} + 2$. plot the vertex. then pl…
Vertex: \((-3, 2)\), Another point: \((-2, -2)\) (plot these points on the graph to sketch the parabola)
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which of the following is equivalent to $sec x cdot sin x cdot \tan(-x)…
$-\tan^2 x$
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use the following function rule to find f(5). $f(x) = 3 - \\frac{x}{5}$…
2
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given the function below, fill in the table of values, use the table of…
### Completed Table: | $x$ | $x+1$ | $y=2^{x+1}$ | |-----|-------|-------------| | $-3$ | $-2$ | $\frac{1}{4}$ | | $-2$ | $-1$ | $\frac{1}{2}$ | | $-1$ | $0$ | $1$ | | $0$ | $1$ |…
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11. \\(\\frac{5}{6} - \\frac{1}{6}\\) 12. \\(\\frac{8}{100} - \\frac{3}…
$\frac{4}{6}$ (or $\frac{2}{3}$) ### Problem 12: $\boldsymbol{\frac{8}{100} - \frac{3}{100}}$
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use the following function rule to find f(5). f(x) = x + 6 f(5) = submit
11
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type the correct answer in the box. use numbers instead of words. what …
162
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $\frac{1}{5}$
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11. \\(\\frac{5}{6} - \\frac{1}{6}\\) 12. \\(\\frac{8}{100} - \\frac{3}…
$\frac{4}{6}$ (or $\frac{2}{3}$) ### Problem 12: $\boldsymbol{\frac{8}{100} - \frac{3}{100}}$
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $\frac{1}{5}$
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which of the following is equivalent to $sec x cdot sin x cdot \tan(-x)…
$-\tan^2 x$
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function g can be thought of as a translated (shifted) version of $f(x)…
B. $g(x) = |x| + 5$
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function g can be thought of as a scaled version of $f(x)=|x|$. what is…
D. $g(x) = \frac{3}{4}|x|$
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function g can be thought of as a scaled version of $f(x)=|x|$. what is…
D. $g(x) = \frac{3}{4}|x|$
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find the graph of this system of linear inequalities. \\(\\begin{cases}…
The second graph (the middle one) is the graph of the system of linear inequalities.
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what is the slope of the line?
$\frac{3}{2}$
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if $f(x)=3x^2 + 12x + 9$, what are the coordinates of the vertex? a. $(…
c. (-2, -3)
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for the quadratic function $f(x)=x^2 - 10x + 25$, what is the $y$-coord…
b. 0
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given the quadratic function $f(x) = -4x^2 + 8x - 1$, what is the maxim…
c. 3
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the maximum value of the function $f(x) = -2x^2 + 4x + 5$ occurs at wha…
b. 7
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lessons 2.1-2.2 review & refresh complete the equation. identify the pr…
1. $8$, Propiedad conmutativa de la suma 2. $2$, Propiedad asociativa de la multiplicación 3. $1$, Elemento identidad de la multiplicación 4. $0$, Elemento identidad de la suma 5.…
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for what value of x is \\(\\cos(x) = \\sin(14^\\circ)\\), where \\(0^\\…
A. 76°
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lesson 8.6 extra practice subtract. 1. $5\\frac{1}{2} - 2\\frac{1}{4} =…
1. $3\frac{1}{4}$ 2. $2\frac{1}{6}$ 3. $3\frac{3}{4}$ 4. $\frac{7}{10}$ 5. $3\frac{1}{4}$ 6. $3\frac{7}{8}$ 7. $7\frac{17}{24}$ 8. $7\frac{1}{9}$ 9. $7\frac{13}{24}$ 10. $4\frac{1…
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lesson 8.5 extra practice add. 1. $3\\frac{1}{2} + 2\\frac{1}{4} = \\un…
1. $5\frac{3}{4}$ 2. $11\frac{1}{2}$ 3. $9\frac{1}{10}$ 4. $6\frac{7}{12}$ 5. $6\frac{5}{8}$ 6. $10\frac{3}{4}$ 7. $8\frac{5}{9}$ 8. $9\frac{5}{24}$ 9. $2\frac{17}{20}$ 10. $4\fra…
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write an equation of the line below. try again
\(y = -3x\)
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write an equation of the line below. your answer
\(y = 4x - 1\)
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what is the absolute value of 2? 0 2 -2 rewatch submit
$\boldsymbol{2}$ (the option with the value 2)
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what is the effect of replacing the graph of the function $f(x)=2x^2 + …
The graph of $f(x)$ shifts to the left by 5 units.
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graph $f(x) = \\frac{3}{4}x + 2$. use the line tool and select two poin…
To graph \(f(x)=\frac{3}{4}x + 2\), use the points \((0,2)\) (y - intercept) and \((4,5)\) (found using slope \(\frac{3}{4}\)) and draw a line through them with the line tool.
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practice: 9. identify the slope and y-intercept of $y = -3x + 7$.
Slope: $-3$ y-intercept: $7$ (or the point $(0, 7)$)
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what is the effect of replacing the graph of the function $f(x)=2x^2 + …
The graph of $f(x)$ shifts to the left by 5 units.
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what does the transformation $f(x) \\mapsto 4f(x)$ do to the graph of $…
stretches it vertically
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what does the transformation $f(x) \\mapsto -f(x)$ do to the graph of $…
reflects it across the x-axis
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what does the transformation $f(x) \\mapsto f(2x)$ do to the graph of $…
shrinks it horizontally
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what does the transformation $f(x) \\mapsto \\frac{1}{9}f(x)$ do to the…
shrinks it vertically
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what does the transformation $f(x) \\mapsto f(x - 4) + 6$ do to the gra…
translates it 4 units right and 6 units up
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what does the transformation $f(x) \\mapsto f(x - 8) - 3$ do to the gra…
translates it 8 units right and 3 units down
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what does the transformation $f(x) \\mapsto f(x - 4)$ do to the graph o…
translates it 4 units right
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what does the transformation $f(x) \\mapsto f(x - 10)$ do to the graph …
translates it 10 units right
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practice: 7. find the slope of a line that rises 8 units and runs 4 uni…
1. For question 7: The slope is $2$ 2. For question 8: The slope of a horizontal line is $0$, and it is a zero slope (horizontal line with no vertical change).
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three skills that can help you choose abstinence are setting clear limi…
avoiding high-pressure situations
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reba makes 3d - printed toys and sells them online. she predicts that i…
\( 7.5 \)
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find the slope of the line that passes through (2, 1) and (10, 10). sim…
\(\frac{9}{8}\)
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what is a good strategy to take when setting limits for expressing sexu…
Consider the values that you hold.
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match the exponential functions ( y = 2^{\frac{x}{2}} ), ( y = 2^{2x} )…
To solve the problem of matching the exponential functions to their graphs, we analyze each function's key features (y - intercept, growth rate) and compare them with the graphs: …
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practice question 1 of 3 attempt 1 of 3 which feature characterizes a g…
C. Can be difficult to test (assuming the options are labeled A, B, C, D with A: Begins with an observation of a specific phenomenon, B: Limited scope, C: Can be difficult to test…
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part e: using substitution, evaluate the following expressions with the…
1. $0.625$ 2. $288$ 3. $11$ 4. $1$ 5. $72$ 6. $11.96$
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how many solutions does the system of linear equations represented in t…
1 solution (the point $(-1, 2)$)
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6 what is a creole language? a simplified, limited non - native languag…
C. A language that develops into a new combined language with native speakers.
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2 what is a pidgin language? a a language that develops into a new comb…
C. Simplified, limited non - native language used by two people that speak two different languages
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how many solutions does the system of linear equations represented in t…
1 solution (the point $(-1, 2)$)
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which graph shows the solution to the system of linear equations? y = 3…
The graph that shows two lines intersecting at the point $(2, 3)$, with one line having a slope of 3 and y-intercept at $(0, -3)$, and the other line having a slope of 1 and y-int…
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determine each feature of the graph of the given function. f(x) = (-2(x…
# of Horizontal Asymptotes: One # of Holes: One # of Vertical Asymptotes: None # of x-intercepts: None # of y-intercepts: One
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11. $x^5 = -112$
\( x\approx - 2.47 \) (or \( x = \sqrt[5]{-112}\))
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math 30 pre - calculus chapter 10 review name: ella answer all question…
\(6\) ### Part b: \((g - f)(4)\)
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12. 1.86^1
\(3.4596\)
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solve the following system of inequalities graphically on the set of ax…
\((0, 3)\)
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the parent function $y = \\sqrt3{x}$ and a transformed function $y = \\…
The graph of the parent function \( y=\sqrt[3]{x} \) is translated \(\boldsymbol{1}\) unit(s) right and \(\boldsymbol{3}\) unit(s) up to graph the transformed function \( y=\sqrt[…
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square root functions and equations which function represents the graph…
\( y=\sqrt[3]{x - 3}+3 \) (the first option)
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graph this function: y = |x| - 9 click to plot the vertex first.
The vertex of the function \( y = |x| - 9 \) is at \((0, -9)\). To graph the function, plot the vertex \((0, -9)\) first, then plot other points like \((1, -8)\), \((-1, -8)\), \(…
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12) if $y = \\frac{1 - x}{2x + 1}$, then $\\frac{dy}{dx} =$
\( \frac{-3}{(2x + 1)^2} \)
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11) $y = 3 \\sin^2 2x$, $\\frac{d^2 y}{dx^2} = $
\(24\cos4x\)
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to input your answer. the model represents 84 ÷ 4. what is 84 ÷ 4? 84 ÷…
21
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use the calculator below to approximate \\(\\sqrt{32}\\) as a decimal t…
$\sqrt{32} \approx 5.66$
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what is $-2.3 - \\left(4.5 - 3\\frac{1}{2}\ ight)$? -3.3 -1.3 -10.3 2.3
-3.3
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what is $-8.64 \\div -0.024$? 360, -360, 36, -36
360
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comparing print and media quick check before deciding on a medium to us…
compare the strengths and limitations of each medium
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match each polynomial function to its graph. $f(x) = x^3 + 22x^2 + 160x…
Left graph: \(f(x) = x^3 + 22x^2 + 160x + 384\); Right graph: \(g(x) = x^3 + 21x^2 + 147x + 343\)
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match each polynomial function to its graph. $f(x) = x^3 + 22x^2 + 160x…
Left graph: \(f(x) = x^3 + 22x^2 + 160x + 384\); Right graph: \(g(x) = x^3 + 21x^2 + 147x + 343\)
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here is a graph that represents one equation in a system of equations. …
\(y =-\frac{1}{4}x + 2\) (or equivalent forms like \(4y=-x + 8\) or \(x + 4y=8\))
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solve this system of equations. y = -4x + 2 y = 3x - 5 use the sketch t…
The solution is \( x = 1 \), \( y = -2 \) (or the ordered pair \( (1, -2) \)).
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select all the correct answers. fatima is a well - reviewed author in t…
B. copyright infringement, and (if there's another, but based on analysis, only B is correct? No, the problem says "select all", so maybe two. Wait, maybe I misread. Let's check a…
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drag the steps used to evaluate the expression to arrange them in the c…
1. Simplify the power 2. Add 3. Divide 4. Subtract
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match each polynomial function to its graph. $f(x) = -2x^{2}$ $g(x) = -…
Left graph: $f(x) = -2x^2$; Right graph: $g(x) = -x^2 + 1$
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here is a graph that represents one equation in a system of equations. …
\(y =-\frac{1}{4}x + 2\) (or equivalent forms like \(4y=-x + 8\) or \(x + 4y=8\))