Quiz about Interpreting and Using Exponential Functions

Question 1

Choose the correct equation for an exponential function that starts at 5 and has a growth factor of 2

Accepted Answer

$$y=5\left(2\right)^x$$

Answer

$$y=2\left(5\right)^x$$

Answer

$$y=a\left(2\right)^5$$

Answer

$$y=2a^5$$

Question 2

Hannah deposits $480 into an account that earns 2.6% annual interest. She makes no further deposits or withdrawals. Which function models the total amount, j(t), in the account after t years?

Accepted Answer

j(t) = 480(1.026)^t

Answer

j(t) = t(480)^2.6

Answer

j(t) = (480)^2.6^t

Answer

j(t) = 1.026(480)^t

Question 3

Florine-21 has a half-life of 4 seconds. You begin with a 50 mg sample of Florine-21. Which exponential equation would represent the amount of Florine-21after t seconds.

Accepted Answer

$$f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{t}{4}}$$

Answer

$$f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{t}{2}}$$

Answer

$$f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{2}{t}}$$

Answer

$$f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{4}{t}}$$

Question 4

Which of the following equations could represent the image?

Accepted Answer

y = 2x

Answer

y = 2x +1

Answer

y = 2x2

Answer

y = -2x

Question 5

Which equation matches the graph

Accepted Answer

y = 4^x + 3

Answer

y = 4^x - 3

Answer

y = 4^{x + 3}

Answer

y = 4^{x - 3}

Question 6

Which equation matches the graph?

Accepted Answer

y=2(2)x

Answer

y=2(1/2)x

Answer

y=2x

Answer

y=1/2(2)x

Question 7

Which equation corresponds to the graph below.

Accepted Answer

$$f\left(x\right)=3\cdot2^x-4$$

Answer

$$k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x+4$$

Answer

$$f\left(x\right)=3\cdot2^x+4$$

Answer

$$m\left(x\right)=3\left(\frac{1}{2}\right)^2-4$$

Question 8

Which equation matches the graph?

Accepted Answer

y=2(2)x

Answer

y=2(1/2)x

Answer

y=2x

Answer

y=1/2(2)x

Question 9

What is the equation that best represents the graph?

Accepted Answer

y=2x

Answer

y=2y

Answer

y=2x

Answer

y=x2

Question 10

What exponential function is represented by the graph?

Accepted Answer

$$y\ =\ 4^x$$

Answer

$$y\ =\ 4\left(2\right)^x$$

Answer

$$y\ =\ \left(\frac{1}{4}\right)^x$$

Answer

$$y\ =\ \left(\frac{2}{3}\right)^x$$

Question 11

Write the exponential equation that represents the given graph.

Accepted Answer

$$y=12\left(\frac{1}{2}\right)^x$$

Answer

$$y=12-0.5x$$

Answer

$$y=12\left(2\right)^x$$

Answer

$$y=12-6x$$

Question 12

Which equation models this graph?

Accepted Answer

y = 0.5(2)^x

Answer

y = 0.5 (1/2)^x

Answer

y = 1/2x + 0.5

Answer

y = 2x + 0.5

Interpreting and Using Exponential Functions

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