Free Printable Exponential Functions

1.

Which of these graphs correctly shows the table of values given above:

a)

b)

c)

d)

2.

A table showing pairs of x – and y – values is shown above. Which equation describes the relationship between the pairs of x – and y–values?

a)

$y=3\times2^x$

b)

$y=2\times3^x$

c)

$y=-2\times3^x$

d)

$y=-3\times2^x$

3.

A bacteria has an initial population of 250 and is doubling every hour. The bacteria reaches a population of 8,000 bacteria. Which equation could represent the situation described and how long does it take for the bacteria to reach 8,000?

a)

$8000=250\left(2\right)^x;\ 5\ hours$

b)

$8000=250\left(2\right)^x;\ 8\ hours$

c)

$250=8000\left(2\right)^x;\ 5\ hours$

d)

$250=8000\left(2\right)^x;\ 8\ hours$

4.

Write the explicit expression that represents the information provided in the table.

a)

$a_n=5\left(\frac{1}{5}\right)^n$

b)

$a_n=\left(\frac{1}{5}\right)^n+5$

c)

$a_n=\left(\frac{1}{5}\right)^n$

d)

$a_n=5^n$

5.

Write the explicit formula to find the nth term of the sequence.

10, 16, 22, 28, . . .

a)

a_n= 10n + 6

b)

a_n= 6n + 10

c)

a_n= 6n + 4

d)

a_n= 10n + 4

6.

What is the 12th term?

10, 16, 22, 28, . . .

a)

126

b)

76

c)

56

d)

36

7.

Which exponential function is in the family the given function with a vertical stretch and translation up 3? $f\left(x\right)=2^x$

a)

$f\left(x\right)\ =\ 5\left(2\right)^x-3$

b)

$f\left(x\right)\ =\ 5\left(2\right)^x+3$

c)

$f\left(x\right)\ =\ 0.5\left(2\right)^x-3$

d)

$f\left(x\right)\ =\ 0.5\left(2\right)^x+3$

8.

Which of the following is the recursive form of the function.
$f\left(x\right)=2\times\left(3\right)^{\left(x-1\right)}$

a)

$a_1=3,\ a_n=a_{\left(n-1\right)}\times2$

b)

$a_1=2,\ a_n=a_{\left(n-1\right)}\times3$

c)

$a_1=-3,\ a_n=a_{\left(n-1\right)}\times2$

d)

$a_1=-2,\ a_n=a_{\left(n-1\right)}\times3$

9.

Use the formula for the rate of change.

a)

$80.00 per year

b)

$40.00 per year

c)

$41.60 per year

d)

$83.20 per year

Exponential Functions

Total questions: 9

Worksheet time: 10mins

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