Quiz about Exponential Functions Word Problems and Tables

Question 1

Find the equation of the exponential function represented by the table.

Accepted Answer

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

Answer

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

Answer

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

Answer

$$f\left(x\right)=4\left(4\right)^x$$

Question 2

Find the equation of the exponential function represented by the table.

Accepted Answer

$$f\left(x\right)=0.2\left(4\right)^x$$

Answer

$$f\left(x\right)=4\left(0.2\right)^x$$

Answer

$$f\left(x\right)=0.2+4x$$

Answer

$$f\left(x\right)=0.2\left(1.2\right)^x$$

Question 3

Find the equation of the exponential function represented by the table.

Accepted Answer

$$f\left(x\right)=0.5^x$$

Answer

$$f\left(x\right)=0.5\left(1\right)^x$$

Answer

$$f\left(x\right)=0.5+x$$

Answer

$$f\left(x\right)=0.125\left(3\right)^x$$

Question 4

Find the equation of the exponential function represented by the table.

Accepted Answer

$$f\left(x\right)=0.2\left(3\right)^x$$

Answer

$$f\left(x\right)=3\left(0.2\right)^x$$

Answer

$$f\left(x\right)=0.2\left(4\right)^x$$

Answer

$$f\left(x\right)=0.2\left(0.5\right)^x$$

Question 5

Find the equation of the exponential function represented by the table.

Accepted Answer

$$f\left(x\right)=64\left(\frac{3}{4}\right)^x$$

Answer

$$f\left(x\right)=64\left(3\right)^x$$

Answer

$$f\left(x\right)=64\left(\frac{1}{2}\right)^x$$

Answer

$$f\left(x\right)=\frac{1}{4}\left(64\right)^x$$

Question 6

Find the equation of the exponential function represented by the table.

Accepted Answer

$$g\left(x\right)=100\left(0.1\right)^x$$

Answer

$$g\left(x\right)=100\left(0.01\right)^x$$

Answer

$$g\left(x\right)=0.1\left(100\right)^x$$

Answer

$$g\left(x\right)=100\left(\frac{1}{5}\right)^x$$

Question 7

Chris purchased a used truck for $11,500. According to an online vehicle website, his truck will depreciate, or lose value, at a rate of 5.5% each year. What function, d(x), represents the value of Chris's truck x years after its purchase?

Accepted Answer

$$d\left(x\right)=11,500\left(0.945\right)^x$$

Answer

$$d\left(x\right)=11,500\left(1.055\right)^x$$

Answer

$$d\left(x\right)=11,500\left(0.055\right)^x$$

Answer

$$d\left(x\right)=11,500\left(5.5\right)^x$$

Question 8

What is the Domain of this function?

Accepted Answer

0 < x < 30

Answer

25 < x < 10

Answer

All Real Numbers

Answer

0 < y < 30

Question 9

Which inequality best represents the domain of the part shown?

Accepted Answer

$$x\ge-2$$

Answer

$$x\ge4.5$$

Answer

$$y\ge4.5$$

Answer

$$y\ge-2$$

Question 10

Which equation matches the graph?

Accepted Answer

$$y=3\cdot3^x$$

Answer

$$y=3^x$$

Answer

$$y=3\cdot\frac{1}{3}^x$$

Answer

$$y=3\cdot1^x$$

Exponential Functions Word Problems and Tables

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