Exponential Functions Domain, Range and Asymptote

The set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

What is the range?

• x≥0

• y≥0

• All real numbers

• {0, 1, 2, 3, 4,...}

the set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

STRATEGY: The ASYMPTOTE of an exponential function is ALWAYS ALWAYS ALWAYS y=0!

When you see the word ASYMPTOTE in this class your answer is y=0!

Mathematical Equivalence

ON

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

• Domain: (- ∞, + ∞)

  Range: (0, + ∞)

• Domain: (- ∞, + ∞)

  Range: (1, + ∞)

• Domain: (- 2, + ∞)

  Range: (0, + ∞)

• Domain: (- ∞, + ∞)

  Range: ( - ∞, + 0)

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

What is the asymptote of y = 2^x ?

• y = 0

• x = 0

The line that the graph of an exponential function approaches is the ​ (a)   .

• asymptote

• exponential

• linear

• constant ratio

.

• All Real Numbers

• All Real Numbers Greater Than 1

• All Real Numbers Greater than 600

• All Real Numbers Greater than or Equal to 0

Mathematical Equivalence

ON