Free Printable Writing Exponential Functions from Tables & Graphs

1.

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

a)

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

b)

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

c)

$f\left(x\right)=2+4x$

d)

$f\left(x\right)=2\left(2\right)^x$

2.

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

a)

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

b)

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

c)

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

d)

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

3.

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

a)

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

b)

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

c)

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

d)

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

4.

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

a)

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

b)

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

c)

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

d)

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

5.

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

a)

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

b)

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

c)

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

d)

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

6.

Determine the exponential equation for the graph.

a)

$f\left(x\right)=2\left(3\right)^x$

b)

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

c)

$f\left(x\right)=3\left(2\right)^x$

d)

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

7.

Determine the exponential equation for the graph.

a)

$f\left(x\right)=0.5\left(4\right)^x$

b)

$f\left(x\right)=1\left(4\right)^x$

c)

$f\left(x\right)=4\left(0.5\right)^x$

d)

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

8.

Determine the exponential equation for the graph.

a)

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

b)

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

c)

$f\left(x\right)=\frac{1}{2}\left(0.5\right)^x$

d)

$f\left(x\right)=-12\left(2\right)^x$

9.

Determine the exponential equation for the graph.

a)

$f\left(x\right)=2\left(3\right)^x$

b)

$f\left(x\right)=3\left(2\right)^x$

c)

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

d)

$f\left(x\right)=-2\left(2\right)^x$

10.

Determine the exponential equation for the graph.

a)

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

b)

$f\left(x\right)=3\left(2\right)^x$

c)

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

d)

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

11.

Determine the exponential equation for the graph.

a)

$f\left(x\right)=27\left(\frac{1}{2}\right)^x$

b)

$f\left(x\right)=36\left(2\right)^x$

c)

$f\left(x\right)=\frac{1}{3}\left(27\right)^x$

d)

$f\left(x\right)=27\left(\frac{1}{3}\right)^x$

12.

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

a)

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

b)

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

c)

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

d)

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

13.

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

a)

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

b)

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

c)

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

d)

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

14.

A chiropterologist is a scientist who studies bats. A bat colony is discovered and a chiropterologist calculates that there are 2,100 bats in the colony. If the population of the colony doubles each year, which function, B(t), describes the population of the colony t years after discovery?

a)

$B\left(t\right)=2100\left(\frac{1}{2}\right)^t$

b)

$B\left(t\right)=2100\left(2\right)^t$

c)

$B\left(t\right)=2100+\left(2\right)^t$

d)

$B\left(t\right)=2100+\left(\frac{1}{2}\right)^t$

15.

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?

a)

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

b)

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

c)

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

d)

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

Writing Exponential Functions from Tables & Graphs

Total questions: 15

Worksheet time: 30mins

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