Domain Range Exponential Functions

What is the domain of the exponential graphed function?

• All positive real numbers

• All real numbers

• 0undefined yundefined 4

A poplulation of chipmunks doubles every year.  Initially, there were 5 chipmunks.  A researcher studying the chipmunks created a function to model their population growth:  P(t) = 5(2 ^t), where t is the time in years.  The graph of the function is shown. What is the best description of the RANGE?

• any real number

• any integer

• any whole number greater than or equal to 0

• any whole number greater than or equal to 5

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: (- ∞, + ∞)

  Range: (0, + ∞)

• Domain: (- ∞, + ∞)

  Range: (1, + ∞)

• Domain: (- 2, + ∞)

  Range: (0, + ∞)

• Domain: (- ∞, + ∞)

  Range: ( - ∞, + 0)

.

• All Real Numbers

• All Real Numbers Greater Than 1

• All Real Numbers Greater than 600

• All Real Numbers Greater than or Equal to 0

What is the domain and range for the function f(x) = 1(2)^x

• Domain: x ∈ ℝ

  Range: y ≥ 1

• Domain: x ∈ ℝ

  Range: y ≥ 0

• Domain: y ≥ 0

  Range: x ∈ ℝ

• Domain: x ∈ ℝ

  Range: y > 0

Answer explanation

Horizontal asymptote! The y value will approach but never equal zero!

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

What is the domain and range of the exponential function graphed on the grid?

What is the domain and range of the exponential function graphed on the grid?

Mathematical Equivalence

ON

The domain of the exponential function is ​ (a)  

The range of the exponential function is ​ (b)  

• All Real Numbers

• x>5