Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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quiz: exponential functions hs: algebra 2b m (sequential) / 3:exponenti…
(Assuming the question is to find the horizontal asymptote of the exponential function graph) The horizontal asymptote is \( y = - 2 \)? Wait, no, let's re - analyze. Wait, the gr…
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quiz: exponential functions hs: algebra 2b m (sequential) / 3:exponenti…
D. \( y = 2^{x - 2}+1 \)
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question 42 (1 point) write a rule for g that represents the indicated …
c. \( g(x)=3(-x + 1)^{5}-3 \)
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quiz: exponential functions hs: algebra 2b m (sequential) / 3:exponenti…
B. \( y = -2(3)^x \)
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3. suppose you invest $4000 at an annual interest rate of 7.6% compound…
$5445$ (assuming the correct option is the last one, but let's solve it properly)
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quiz: exponential functions hs: algebra 2b m (sequential) / 3:exponenti…
0.1
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1. use the graph of $y = e^x$ to evaluate the expression $e^{-2.8}$. ro…
0.1
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suppose you invest $2200 at an annual interest rate of 5.3% compounded …
\( 2200 \)
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guided practice type your answer and then click or tap done. evaluate t…
0.1
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guided practice type your answer and then click or tap done. evaluate t…
0.4
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guided practice use the same function, f(x) = e^x, to answer the follow…
1.6
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guided practice exponential functions if the parent function is $y = 2^…
B. \( y = -2^x \)
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guided practice exponential functions if the parent function is $y = 2^…
B. \( y = -2^x \)
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guided practice answer the following question given the equation of an …
A. \( y = -0.5^{x - 3}+1 \)
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exponential functions parent ( y = 3^x ) ( y = 5^x ) stretch shrink ref…
### Parent: - \( y = 3^x \), \( y = 5^x \) ### Stretch: - \( y = 2(3)^x \), \( y = 5\cdot5^x \) (Note: \( y = 5\cdot5^x = 5^{x + 1} \), but for the purpose of vertical stretch, th…
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exponential functions match the exponential function with the correct “…
- Parent: \( y = 3^x \), \( y = 5^x \) - Stretch: \( y = 5 \cdot 5^x \), \( y = 2(3)^x \) - Shrink: \( y = 0.5(3)^x \) - Reflection: \( y = -5^x \), \( y = -2(3)^x \)
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find the vertical shift of the sinusoidal function. simplify any fracti…
\( 0 \)
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eight times two equals eight 2.
La ecuación correcta es \( 8 \times 2 = 16 \) (o la frase "eight times two equals sixteen").
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guided practice recall that a stretch occurs when you multiply the pare…
A. \( y = 3(0.5)^x \)
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guided practice remember that an asymptote is a horizontal line that th…
B. \( y = 0 \)
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find the amplitude of the sinusoidal function. simplify any fractions. …
\( 3 \)
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find the period of the sinusoidal function. simplify any fractions. per…
\( 4\pi \)
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find the vertical shift of the sinusoidal function. simplify any fracti…
4
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guided practice exponential functions type your answer and then click o…
2
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14 mark for review in a semi-log plot, which of the following pairs of …
C. \( f(x) = 2^x \) and \( g(x) = 3 \cdot 2^x \)
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the function f is logarithmic, and the points (2,1) and (4,2) are on th…
C. $2\log_{4}x$
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an equation involves the expression \\(\\log_{9}(27^{x})\\), which is e…
D. $\frac{x \log_3 27}{\log_3 9}$
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the range of function f is the positive real numbers. the function g is…
B. \( f(x) = e^2 \)
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1 mark for review the functions f and g are given by f(x) = 4^(3x - 1) …
A. \( f(x)=2^{(\log_{2}4(3x - 1))} \) and \( g(x)=2^{(\log_{2}8(x + 4))} \)
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state the domain and range of the graph in interval notation. what is t…
Domain: \([-10, 5]\) Range: \([0, 4]\)
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ann deposits $70,000 into an account that pays 2% interest per year, co…
| Year | Interest Ann earns (\$) | Interest Jim earns (\$) | Who earns more | |------|-------------------------|-------------------------|----------------| | First | 1400 | 1400 |…
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the table shows the approximate height of an object x seconds after the…
\(-2.75\) (because time cannot be negative in the context of an object being dropped, so the model does not make sense for \(x=-2.75\))
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write 8.683×10⁻⁶ in standard notation.
\(0.000008683\)
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find the y - value when x = 0 by substituting into y = \\frac{1}{4}x - 4
The \( y \)-value when \( x = 0 \) is \(-4\).
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which term gives the number of cycles of a periodic function that occur…
The option with "frequency" (the third option from the top, or the one labeled "frequency" among the choices).
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which term gives the horizontal length of one cycle of a periodic funct…
B. period (assuming the options are labeled A. amplitude, B. period, C. frequency, D. phase shift as per typical multiple - choice formatting for this question)
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what is the general equation of a sine function with an amplitude of 2,…
\( y = 2\sin(2(x - \pi)) \) (corresponding to the first option)
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what is the period of $y = \\sin(3x)$? $\\bigcirc\\ \\frac{\\pi}{3}$ $\…
\(\frac{2\pi}{3}\) (corresponding to the option \(\boldsymbol{\frac{2\pi}{3}}\))
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36 multiple choice 1 point \\(\\frac{2}{3} \\div \\frac{3}{4} =\\) \\(\…
\(\frac{8}{9}\) (corresponding to the option with \(\frac{8}{9}\))
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40 multiple choice 1 point 20. write an equation for the line graphed. …
B. \(y = 2x\)
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15. adrian bounces a tennis ball hard off the ground. the ball is in th…
The quadratic equation modeling the height is \( h(x) = -\frac{4}{3}(x - 3)^2 + 12 \) (or \( h(x) = -\frac{4}{3}x^2 + 8x \) in standard form).
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is the function c(x) = 5x⁴ + 3 even, odd, or neither? even odd neither …
even
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is the function g(x) = 2x^7 - x^5 - 6x^3 even, odd, or neither? even od…
odd
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is the function w(x) = -2x^5 + 7x^2 even, odd, or neither? even odd nei…
neither
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is the function m(x) = -3x⁴ - 2 even, odd, or neither? even odd neither
even
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is the function k(x) = 3x² - 1 even, odd, or neither? even odd neither
even
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4. write the equation of the quadratic function which passes through th…
The equation of the quadratic function is \( y=x^2-5x - 14 \)
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3. write the equation of the quadratic function which passes through th…
\( y = x^2 - 9x + 8 \)
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18. cashews how many $1\\frac{1}{4}$-pound packages can you make with $…
6
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which of these civil liberties was limited under the napoleonic code? ○…
A. freedom of speech
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ch 09 music and politics: quiz started: dec 12 at 7:58pm quiz instructi…
D. syncopation
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ch 09 music and politics: quiz started: dec 12 at 7:58pm quiz instructi…
A. to second
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ch 09 music and politics: quiz started: dec 12 at 7:58pm quiz instructi…
D. Yankee Doodle
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question 5 1 pts what is the setting of music of the powwow today? ○ it…
B. In addition to powwows, it can be heard in special performances at rodeos, football halftime shows, lecture - demonstrations on college campuses, and so on.
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napoleonic code is the napoleonic code a reliable source about life in …
The Napoleonic Code is somewhat reliable but has limitations as a source about life in France in 1804.
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ch 09 music and politics: quiz - ch 09 lecture module. - there is no ti…
D. the African National Congress
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which of the following is the value of $(f \\circ g)(2)$ given the grap…
\(\boldsymbol{6}\) (assuming the above steps are correct based on the graph interpretation)
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graph the equation. $y = -4|x| + 3$
The graph is a V - shaped absolute value graph with vertex at \((0, 3)\), opening downward, passing through points like \((1, -1)\), \((-1, -1)\), \((2, -5)\), \((-2, -5)\) etc. (…
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which of the following is the expression of the graph of the rational f…
\( \boldsymbol{f(x)=\frac{x + 4}{x^2 - 3x}} \) (or equivalent simplified form, depending on the options. Since options are not provided, this is the derived function from the grap…
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havior of the polynomial function $f(x) = 8x^7 - 4x^4 + 5x^3 - 2x + 6$?
As \( x ightarrow+\infty \), \( f(x) ightarrow+\infty \); as \( x ightarrow-\infty \), \( f(x) ightarrow-\infty \)
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graph the equation. $y = -3|x - 6|$
The graph is a V - shaped graph with vertex at \((6,0)\), opening downward, passing through points like \((5, - 3)\), \((7,-3)\), \((4,-6)\), \((8,-6)\) (the actual graph is drawn…
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using transformations, which of the following is the function of the gr…
Assuming the options include \(y=\sqrt{x + 3}-2\), the function of the graph is \(y=\sqrt{x + 3}-2\) (or the corresponding option with this function).
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graph the equation. $y = 5|x| + 2$
The graph is a V - shaped graph (absolute - value graph) with vertex at \((0,2)\), passing through \((-1,7)\) and \((1,7)\), with a vertical stretch by a factor of \(5\) and a ver…
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graph the equation. $y = 5|x| + 2$
To graph \(y = 5|x|+2\): 1. Plot the vertex \((0,2)\). 2. For \(x\geq0\), use \(y = 5x + 2\) to find additional points (e.g., \((1,7)\), \((0.5,4.5)\)) and plot them. 3. Use the s…
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which of the following is the expression of the piecewise - defined fun…
The piecewise function is likely \( f(x) = \begin{cases} x^2 & x \leq 0 \\ x + 2 & x > 0 \end{cases} \) (assuming the graph's left is \( y = x^2 \) for \( x \leq 0 \) and right is…
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which of the following is the domain in interval notation of the functi…
\((-4, \infty)\)
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determining solutions of a cubic equation graph the function f(x) = x³ …
The solutions to the equation \( f(x)=x^3 - 5x^2 + 6x = 0 \) are \( x = 0 \), \( x = 2 \), and \( x = 3 \). So we would check the boxes corresponding to \( 0 \), \( 2 \), and \( 3…
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d) identify the y-intercept. enter your answer as an ordered pair. e) g…
(0, 0)
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graph the equation. $y = -6|x + 6|$
The graph is a downward - opening V - shaped graph with vertex at \((-6,0)\), passing through points like \((-5,-6)\) and \((-7,-6)\) (and other points determined by the slope of …
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question 5 simplify the following trigonometric expression. \\(\\dfrac{…
\(\sin\alpha\) (corresponding to the option "B. \(\sin\alpha\)" if options are labeled as A. 1, B. \(\sin\alpha\), C. \(\sin^2\alpha\), D. \(\cos\alpha\))
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question 4 one possible way to simplify \\(\\cos^2 x + \\cos^2 x \\cdot…
- \(A = 1\) - \(B=\sec^2 x\) - \(C = \cos^2 x\) - \(D = 1\)
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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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determine the values below given the following piecewise function. $f(x…
\( f(-4) = 2 \) \( f(0) = -1 \) \( f(3) = 11 \)
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c) options: \\( f(x) = \\left(\\frac{1}{3}\ ight)^x \\) \\( f(x) = \\lo…
\(f(x) = 3^x\) (the fourth option: \(f(x) = 3^x\))
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which of the following is a business that is not owned by investors but…
A. A cooperative
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which of the following is regulated by the u.s. securities and exchange…
E. A publicly owned corporation
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______ is a specific form of business organization that is legally form…
D. A corporation
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a__________ is the default arrangement for a partnership. a. limited pa…
D. general partnership
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which of the following is an unincorporated business owned, and usually…
E. A sole proprietorship
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solve the logarithmic equation for x. if there are no answers, enter no…
\(\frac{11}{4}\)
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d) graph with grid. options: ( f(x) = 5 - 2^x ), ( f(x) = 2^{1 - x} ) (…
\( f(x) = 2^{1 - x} \) (the option with the radio button selected, \( f(x) = 2^{1 - x} \))
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Question was provided via image upload.
\(f(x)=5 - 2^{x}\) (the first option)
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homework.derivita.com f(x) = 2^x - 5 f(x) = -2^{x - 1} b) graph of a cu…
\(f(x) = 2^{1 - x}\) (the option with \(f(x)=2^{1 - x}\))
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Question was provided via image upload.
\( f(x)=2^{x}-5 \)
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find the value of the summation. \\(\\sum\\limits_{k=0}^{4} (k^2 + 4) =…
\( 50 \)
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32 multiple choice 2.5 points the set of laws that severely limited the…
C. Jim Crow laws
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write the equation of the line in fully simplified slope-intercept form.
\(y = 3x-8\)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-5\)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-4\).
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-4\).
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draw the graph of $f(x) = \\log_{3}(x - 3) - 1$ question 17 solve the g…
To draw the graph of \( f(x) = \log_3(x - 3) - 1 \): 1. Draw a vertical dashed line at \( x = 3 \) (vertical asymptote). 2. Plot the points \( (4, -1) \) and \( (6, 0) \). 3. Draw…
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question 14 consider the polynomial function $f(x) = 5x^7 + x^4 + 2x^3 …
As \( x \to -\infty \), \( f(x) \to \boldsymbol{-\infty} \) As \( x \to \infty \), \( f(x) \to \boldsymbol{-\infty} \)
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suppose that the functions g and r are defined as follows. g(x) = 2x + …
\((g \circ r)(-1)=\boxed{2}\) \((r \circ g)(-1)=\boxed{-1}\)
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suppose that the functions q and r are defined as follows. q(x) = 2x + …
\((q \circ r)(-1)=\boxed{2}\) \((r \circ q)(-1)=\boxed{-1}\)
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which integer is closest to (sqrt3{26})?
\(3\)
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let $f(x) = 3x + 2$ and $g(x) = 2x^2 + 3x$. after simplifying, $(f \\ci…
\((f \circ g)(x)=\boldsymbol{6x^{2}+9x + 2}\) \((g \circ f)(x)=\boldsymbol{18x^{2}+33x + 14}\)
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8. 2 4/5 x 4 1/4 119/10 9. 2 7/10 x 3 1/3 your answer 10. 3 3/4 x 3 1/2…
\( 9 \) --- ### Problem 10: \( 3\frac{3}{4} \times 3\frac{1}{2} \)
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the study of how individual businesses, families, and shoppers make dec…
E. microeconomics
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graph $y = 3|x - 3| - 2$.
The graph of \(y = 3|x - 3|-2\) has a vertex at \((3,-2)\), passes through \((2,1)\) and \((4,1)\), and is a V - shaped graph opening upwards with slopes \(3\) (for \(x\geq3\)) an…
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which of the following is true of a green economy? a. a green economy f…
A. A green economy factors ecological concerns into business decisions.