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Quiz Review 2.1 - 2.4

Authored by Cayley Garrison

Mathematics

11th Grade

Used 5+ times

Quiz Review 2.1 - 2.4
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29 questions

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1.

MATCH QUESTION

1 min • 1 pt

Match each exponential function with its end behavior written in limit notation

lim⁡x→−∞f(x)=0 and lim⁡x→∞f(x)=−∞\lim_{x\rightarrow-\infty}f\left(x\right)=0\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=-\infty

−2(43)x-2\left(\frac{4}{3}\right)^x

lim⁡x→−∞f(x)=∞ and lim⁡x→∞f(x)=0\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=0

5(38)x5\left(\frac{3}{8}\right)^x

lim⁡x→−∞f(x)=−∞ and lim⁡x→∞f(x)=0\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=0

−6(0.2)x-6\left(0.2\right)^x

lim⁡x→−∞f(x)=0 and lim⁡x→∞f(x)=∞\lim_{x\rightarrow-\infty}f\left(x\right)=0\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty

5x5^x

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Let gg be an exponential function that is increasing and concave down. Which of the following could be the graph of gg ?

Media Image

Media Image

Media Image

Media Image

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The graph of the exponential function h is shown. Which of the following could be the expression for h?

h(x)=−2(23)xh\left(x\right)=-2\left(\frac{2}{3}\right)^x

h(x)=−23(2)xh\left(x\right)=-\frac{2}{3}\left(2\right)^x

h(x)=23(2)xh\left(x\right)=\frac{2}{3}\left(2\right)^x

h(x)=2(23)xh\left(x\right)=2\left(\frac{2}{3}\right)^x

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Let g(x)=−2(5)xg\left(x\right)=-2\left(5\right)^x . Which of the following statements about the graph of f is correct?

g is increasing at an increasing rate

g is increasing at an decreasing rate

g is decreasing at an increasing rate

g is decreasing at an decreasing rate

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Let f(x)=3xf\left(x\right)=3^x . Which of the following statements about the graph of f is correct?

f is increasing at an increasing rate

f is increasing at an decreasing rate

f is decreasing at an increasing rate

f is decreasing at an decreasing rate

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The exponential function k exhibits exponential decay. Which of the following could be k?

k(x) = 4(23)xk\left(x\right)\ =\ 4\left(\frac{2}{3}\right)^x

k(x) = 23(4)xk\left(x\right)\ =\ \frac{2}{3}\left(4\right)^x

k(x) = −4x2k\left(x\right)\ =\ -4x^2

k(x) = −12x2k\left(x\right)\ =\ -\frac{1}{2}x^2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph of the exponential function g has the following end behaviors:

lim⁡x→−∞g(x)=0 and  lim⁡x→∞g(x)=−∞\lim_{x\rightarrow-\infty}g\left(x\right)=0\ and\ \ \lim_{x\rightarrow\infty}g\left(x\right)=-\infty

Which of the following could be an equation for g?

g(x)=−3(12)xg\left(x\right)=-3\left(\frac{1}{2}\right)^x

g(x)=−12(3)xg\left(x\right)=-\frac{1}{2}\left(3\right)^x

g(x)=3(12)xg\left(x\right)=3\left(\frac{1}{2}\right)^x

g(x)=12(3)xg\left(x\right)=\frac{1}{2}\left(3\right)^x

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