微积分
极限、导数、最优化与函数性质。
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the end behavior of a polynomial function is determined by the degree a…
b) Leading Coefficient Positive Degree - Odd
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what is the slope of the line represented by the equation $y = \\frac{4…
\(\frac{4}{5}\) (the option corresponding to \(\frac{4}{5}\) in the given choices)
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what is the slope of the line represented by the equation $y = -\frac{2…
\(-5\) (corresponding to the option: \(-5\))
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6×9 = __ __×__ = __ __÷__ = __ __÷__ = __
$6\times9 = \boldsymbol{54}$ $\boldsymbol{9}\times\boldsymbol{6} = \boldsymbol{54}$ $\boldsymbol{54}\div\boldsymbol{6} = \boldsymbol{9}$ $\boldsymbol{54}\div\boldsymbol{9} = \bold…
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enter the correct answer. find the quotient. \\(9 \\overline{)90.9}\\) …
10.1
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Question was provided via image upload.
The top - right graph (the second graph in the given set of four graphs) has a slope of \(\frac{4}{5}\).
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which relationship has a zero slope? \ (image of a line with positive s…
The relationship in the second table (with \( x \) values \(-3, -1, 1, 3\) and \( y \) values all \( 2 \)) has a zero slope.
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a balloon artist creates balloon hats for children at a stores grand op…
- constant slope - negative slope - decreasing function
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the graph of a linear function is shown. graph of a line on a coordinat…
A. positive
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6. \\(\\frac{7}{8} - \\frac{2}{6} =\\) \\(= \\underline{quadquad} - \\u…
\(\frac{7}{8}-\frac{2}{6}=\frac{21}{24}-\frac{8}{24}=\frac{13}{24}\) So the blanks are filled as \(\frac{21}{24}\), \(\frac{8}{24}\), and \(\frac{13}{24}\) respectively.
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4. \\(\\frac{1}{2} - \\frac{3}{7} =\\)\\(= \\underline{\\quad\\quad\\qu…
$\frac{1}{2}-\frac{3}{7}=\frac{7}{14}-\frac{6}{14}=\frac{1}{14}$
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make like units. then add or subtract. 1. \\(\\frac{3}{10} + \\frac{1}{…
First blank: \(\frac{9}{30}\), Second blank: \(\frac{10}{30}\), Third blank: \(\frac{19}{30}\)
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the function f(x) is shown on the graph. graph of a function f(x) with …
12 only
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the graph of the function f(x) is shown. what is x when f(x) = 0? 5 -1.…
\( -1.8 \) (corresponding to the option: \( -1.8 \))
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the table represents a function. | x | f(x) | | ---- | ---- | | -6 | 8 …
\(-2\)
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choose the graph of this equation. $y = 2.5x$
The graph in the top-right corner (with the checkmark)
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12 soit une fonction exponentielle dont la règle est de la forme $f(x) …
d) a < 0 et b < 0
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question 2 of 8 type the correct answer in the box. use numbers instead…
-0.9
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2. \\(\\begin{array}{r} 48 \\ 94 \\enclose{longdiv}{4,552} \\end{array}…
The division gives a quotient of 48 with a remainder of 40, or the exact value is $\frac{2276}{47}$ (simplified from $\frac{4552}{94}$)
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a sequence is defined recursively by the formula $f(n + 1) = -2f(n)$. t…
3 (corresponding to the option "3")
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consider the function represented by the graph. graph of a line from (0…
\(\{x | 0 \leq x \leq 8\}\)
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the function $f(x)$ is shown on the graph. graph of a function with gri…
-2, - 1, 1, and 3 only
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the function $f(x)$ is shown on the graph. graph of a function $f(x)$ o…
-2, 1, or 3 only (the fourth option: -2, 1, or 3 only)
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sebastian used the table and correctly identified that the data does no…
D. The table shows two x - intercepts and it changes from increasing to decreasing.
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which of the following is the inverse of $y = 6^x$? $\\circ\\ y = \\log…
A. \( y = \log_{6}x \)
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which effect is most likely to result from parents who do not set appro…
D. less self - control
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which aspects of parenting are legally required? setting appropriate li…
D. providing food, shelter, and other daily needs
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Question was provided via image upload.
\( 1 \)
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the graph shows a logarithmic function f. what do f and the function g(…
- Both graphs increase on their domain. - The graphs of both functions have the same x - intercept. - Neither graph has a y - intercept.
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the function f(x) is shown below. is the inverse of f(x) also a functio…
The function $f(x)$ assigns every range value to exactly one domain value. The domain of $f(x)$ is all real numbers and the range of $f(x)$ is $(-3, \infty)$. Therefore, the inver…
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the first four terms of a geometric sequence are shown. \\(\\frac{1}{3}…
$a_1 = \frac{1}{3}$ $a_n = a_{n-1} \cdot 9$
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the end behavior of the graph of a polynomial function shows the left s…
\( -2x^{7}+\frac{1}{2}x^{6}-8x^{5}+3x^{4}+2x^{3}-5x^{2}+x - 7 \)
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what is the inverse of the logarithmic function $f(x) = \\log_{9}x$? $f…
To find a point on \( f(x)=\log_{9}x \) from a point \((a,b)\) on \( f^{-1}(x) = 9^{x}\), swap the \( x\)- and \( y\)-coordinates to get the point \((b,a)\) on \( f(x)=\log_{9}x \…
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what is the inverse of the logarithmic function $f(x) = \\log_{9}x$? $\…
\( f^{-1}(x) = 9^{x} \) (corresponding to the option \( f^{-1}(x) = 9^{x} \))
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which statement describes an example of irresponsible parenting? a pare…
D. A parent leaves his young child home alone while he runs errands.
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answer the questions about the quadratic function above. the function o…
To solve the questions about the quadratic function, we analyze the graph: ### 1. Direction of Opening A parabola opens **down** if it has a maximum point (the vertex is the highe…
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5. use desmos.com to graph $y = f(x)$. sketch it below.
(The sketch would be a straight line passing through the origin (0,0), (20,80) and (-20, - 80) on the given grid. If a specific function was provided, the sketch would be adjusted…
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the function f is shown. what is f(2)? f(x) = 2(4^x) type the number in…
32
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given the following equations, at which point will the graphs intersect…
(2, 11)
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question 8 (multiple choice worth 2 points) (04.04r mc) jamar is writin…
B. Digital resources are more accessible to a broader audience, including people with disabilities
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unit: exponential and logarithmic functions progress: the movement of t…
\( t = \dfrac{\log 3}{0.02} \) (the fourth option: \( t = \dfrac{\log 3}{0.02} \))
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score: 10/160 answered: 1/16 question 2 find the slope of the line. slo…
\(-\frac{5}{6}\)
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1.3 homework - linear functions score: 0/160 answered: 0/16 question 1 …
\(\frac{7}{25}\)
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tory is writing a speech about the negative influence of social media. …
A. After looking at pictures of people having fun on the beach, I look around my messy room and think, "This sure is paradise."
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a model rocket is launched with an initial upward velocity of 215 ft/s.…
$t=0.47$ seconds or $t=12.97$ seconds
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11. a mixture of nuts containing 1 cup of walnuts, y, for every 5 cups …
The linear equation is $y = \frac{1}{3}x$. To graph it, plot the points $(0,0)$ and $(3,1)$ (and other points like $(6,2)$ if needed) and draw a straight line through them.
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express the function graphed on the axes below as a piecewise function.…
\( f(x) = \begin{cases} 5 & \text{si } x < -5 \\ -3x & \text{si } x \geq -1 \end{cases} \)
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the authors of the us constitution included which two features as ways …
- Powers are shared across three branches of government. - Leaders are identified by the people, rather than by divine birthright.
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f(x) = \\begin{cases} -x - 6 & \\text{for } x < -1 \\\\ -6 & \\text{for…
undefined
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question $f(x) = \\begin{cases} -(x + 6)^2 & \\text{for} & x \ eq -5 \\…
\( -3 \)
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evaluate the function graphically. find f(3) answer attempt 1 out of 2 …
\( -5 \)
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evaluate the function graphically. find ( f(3) )
\( f(3) = -3 \)
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9. find aroc 0,3 $f(x)$ $g(x) = x^2 - 2x$ $f(0)=0$ $f(3)=2$ $\frac{2 - …
The AROC of $f(x)$ on $[0,3]$ is $\frac{1}{3}$, the AROC of $g(x)$ on $[0,3]$ is $1$. $g(x)$ has a greater AROC than $f(x)$, so the box next to "$g(x)$ has a greater AROC than $f(…
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f(x) has a greater aroc than g(x) \\square g(x) has a greater aroc than…
AROC of $f(x)$ on $[0,3]$ is $6$, AROC of $g(x)$ on $[0,3]$ is $\frac{1}{2}$. $f(x)$ has a greater AROC than $g(x)$
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if $f(x)$ is a linear function and given $f(6) = 1$ and $f(9) = 4$, det…
\( 1 \) ### Part b: Find the y - intercept
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1.2 homework - graphing functions, compositior score: 50/80 answered: 6…
\(x^2 - 5x + 4\)
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1.2 homework ~ graphing functions, composition of functions, and piece-…
\( f(g(6)) = 516 \) ### Part 2: Evaluate \( g(f(7)) \)
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1.2 homework - graphing functions, composition of functions, and piece …
\( f(g(-4)) = \boldsymbol{555} \) \( g(f(-3)) = \boldsymbol{2558} \)
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which graph shows $f(x)+5$? a graph a c graph c b graph b d graph d
(Assuming the correct graph is, for example, A. But based on vertical shift, the graph of \( f(x)+5 \) is \( f(x) \) shifted up 5. So if the options are as given, the correct one …
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5. find (a) ( f(g(x)) ), (b) ( g(f(x)) ), and (c) ( f(f(x)) ). state th…
s: a. \( f(g(x)) = \boldsymbol{|x + 2| - 9} \); Domain: \(\boldsymbol{\text{all real numbers}}\) b. \( g(f(x)) = \boldsymbol{|x - 7|} \); Domain: \(\boldsymbol{\text{all real numb…
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question 3 given the function $f(x) = \\begin{cases}8x + 5 & x < 0 \\\\…
\( f(-1) = -3 \) \( f(0) = 10 \) \( f(2) = 26 \)
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write a sine function that has an amplitude of 5, a midline of $y = 2$ …
\( y = 5\sin(6\pi x)+2 \)
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given $f(x)=ab^x + c$, how would increasing the value of $a$ change the…
B. The function would increase at a faster rate
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ula for the function g. $2^{x + 1}+2$
\( g(x)=2^{x - 1}+2 \) (assuming the transformation is horizontal shift right by 1 and vertical shift up by 2)
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date: ______ per: ______ homework 12: solving nonlinear systems graphic…
Solution is \( (-2, -3) \) ### Problem 2:
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determine the period of the following trigonometric function. $y = 2cos…
$\frac{1}{4}$
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if $f(x) = x^2 + 7$, $g(x) = x - 8$, and $h(x) = \\sqrt{x}$, then $(f \…
\((f \circ g)(x)=x^{2}-16x + 71\) \((g \circ f)(x)=x^{2}-1\) \((h \circ g)(x)=\sqrt{x - 8}\)
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convert the angle 1 radian to degrees, rounding to the nearest 10th.
\( 57.3^\circ \)
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convert degrees to radians score:3/5 penalty:0.25 off question watch vi…
$\frac{\pi}{6}$
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graph the function $y = 2^{x+4} - 2$ using the given table of values an…
\(-2\)
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convert degrees to radians score: 1/5 penalty: 0.25 off question watch …
$\frac{7\pi}{3}$
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convert the following angle from degrees to radians. express your answe…
\( \frac{7}{12}\pi \)
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converting radians to degrees question convert the angle \\(\\frac{17\\…
255
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convert the angle -3 radians to degrees, rounding to the nearest 10th.
\( -171.9^\circ \)
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converting radians to degrees score: 2.75/5 penalty: 0.25 off question …
105
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convert the angle -3.5 radians to degrees, rounding to the nearest 10th.
\(-200.5^\circ\)
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converting radians to degrees score: 1.75/5 penalty: 0.25 off question …
495
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convert the angle \\(\\frac{7\\pi}{12}\\) radians to degrees.
\( 105^\circ \)
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convert the angle 6 radians to degrees, rounding to the nearest 10th.
343.8
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converting radians to degrees score:2/5 penalty:0.25 off question conve…
315.2
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convert the angle -4 radians to degrees, rounding to the nearest 10th.
\( -229.2^\circ \)
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convert the angle -2 radians to degrees, rounding to the nearest 10th.
-114.6
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what is the main goal of the war powers resolution of 1973? this questi…
To limit the President’s ability to deploy troops without approval
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h(x) = 1.25x - 3
To analyze the function \( h(x) = 1.25x - 3 \), we can follow these steps: ### Step 1: Identify the type of function The function \( h(x) = 1.25x - 3 \) is a linear function in th…
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b) $f(x) = 3 - \\frac{1}{2}x$
To graph \( f(x)=3 - \frac{1}{2}x \): 1. Plot the y - intercept \( (0, 3) \) (since when \( x = 0 \), \( f(0)=3 \)). 2. Plot the x - intercept \( (6, 0) \) (found by solving \( 0 …
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which statement justifies a zero between x = 1 and x = 2 given the tabl…
C) \( f(1) \) is positive and \( f(2) \) is negative.
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select the graph of $f(x) = 2x^4 + x^3 - 3x^2 - 2$. a) graph b) graph c…
B. La gráfica que corta al eje \( y \) en \( (0, -2) \) y tiene ramas ascendentes.
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lesson activity practice/drill 1. simplify the following numerical expr…
\( 10 \) ### 2. \( 7 - (2 \times 3)^2 \)
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multiply. \\frac{2}{9} \\times 45
10
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solve: -4(-1)(-2)(3)
$-24$
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problem 1. differentiate the following functions. (a) 4pts. $f(x) = \\f…
\( \frac{2x\sin(x)+x^2\cos(x)+x^4\cos(x)}{(1 + x^2)^2} \) (or factored form as above) ### Part (b)
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which of the following is the graph for this piecewise defined function…
The second graph (the middle one)
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find the horizontal and vertical asymptotes for the function. $f(x) = \…
Vertical asymptote: \(x = 8\) Horizontal asymptote: \(y = -4\)
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in the $xy$-plane, the point $(0, -2)$ is on the curve $c$. if $\\frac{…
D. At the point \((0, -2)\), the curve \(C\) has a relative maximum because \(\frac{dy}{dx} = 0\) and \(\frac{d^{2}y}{dx^{2}}<0\).
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graph the following system of inequalities on the coordinate plane and …
To graph the system: 1. For \( y>2x - 3 \), draw a dashed line with slope \( 2 \) and y - intercept \( -3 \), shade above it. 2. For \( y\leq -x + 4 \), draw a solid line with slo…
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the point $(-3, 4)$ is on the curve defined by $x^2y^3 = 576$. which of…
D. \(\frac{dy}{dx}>0\) and \(\frac{d^{2}y}{dx^{2}}>0\)
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3. why is a thesis statement with a narrow, clearly defined focus bette…
A. A focused thesis allows the writer to research examples more in-depth to fully support the limited topic.
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9. $-\frac{1}{4}(-8.6)$
\(2.15\)
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7. $-\frac{1}{6}(2.4)$
-0.4
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one group less; 10 × 34 = 340; 9 × 34 = ?
$9 \times 34 = 306$