FIND THE DOMAIN AND RANGE OF A EXPONENTIAL FUNCTION WORKSHEET

Answer Key

1)  f(x) = 3^x

Domain:

The domain is all real number.

(-∞, ∞)

Range:

The range is all positive real numbers.

(0, ∞)

Exponential growth or decay:

exponential growth function.

Horizontal asymptote:

y = 0

2)  f(x) = -(3^x)

Domain:

The domain is all real number.

(-∞, ∞)

Range:

The range is all negative real numbers.

(-∞, 0)

Exponential growth or decay:

it is reflection.

Horizontal asymptote:

y = 0

3)  f(x) = 3^-x

Domain:

The domain is all real number.

(-∞, ∞)

Range:

The range is all positive real numbers.

(0, ∞)

Exponential growth or decay:

This is an exponential decay.

Horizontal asymptote:

y = 0

4)  f(x) = (1/3)^x

Domain:

The domain is all real number.

(-∞, ∞)

Range:

The range is all positive real numbers.

(0, ∞)

Exponential growth or decay:

This is an exponential decay function.

Horizontal asymptote:

y = 0

5)  f(x) = 2^x - 3

Domain:

The domain is all real number.

(-∞, ∞)

Range:

(-3, ∞)

Exponential growth or decay:

This is exponential growth function.

Horizontal asymptote:

y = -3

6)  f(x) = 2^x-3

Domain:

The domain is all real number.

(-∞, ∞)

Range:

(0, ∞)

Exponential growth or decay:

This is an exponential growth function.

Horizontal asymptote:

y = 0

7)  f(x) = 2^x+5 - 5

Domain:

The domain is all real number.

(-∞, ∞)

Range:

(-5, ∞)

Exponential growth or decay:

This is an exponential growth function.

Horizontal asymptote:

y = -5

8)   f(x) = -2^-x

Domain:

The domain is all real number.

(-∞, ∞)

Range:

(-∞, 0)

Exponential growth or decay:

This is an exponential growth function.

Horizontal asymptote:

y = 0

9)  f(x) = -2^x+3 + 1

Domain:

The domain is all real number.

(-∞, ∞)

Range:

(-∞, 1)

Exponential growth or decay:

This is an exponential decay function.

Horizontal asymptote:

y = 1

10)  f(x) = (1/2)^x-3 - 4

Domain:

The domain is all real number.

(-∞, ∞)

Range:

(-4, ∞)

Exponential growth or decay:

This is an exponential decay function.

Horizontal asymptote:

y = -4