PROBLEMS ON DOMAIN AND RANGE OF EXPONENTIAL FUNCTION WORKSHEET

Problem 1 :

What is the domain of the exponential function

f(x) = 14(0.8)x ?

Solution

Problem 2 :

What is the range of exponential function y = 120 (7x) ?

Solution

Problem 3 :

The graph of y = (2/3)x is shown below. What is the range of the function y ?

domain-and-range-of-exp-function-q1

Solution

Problem 4 :

What is the domain of f(x) = 6(1.8)x?

Solution

Problem 5 :

The graph of the exponential function y = -400 (5)x is shown below.

domain-and-range-of-exp-function-q2.png

What is the range of the function ?

Solution

Problem 6 :

The table below shows points that belongs to the function.

domain-and-range-of-exp-function-q3.png

Solution

Problem 7 :

domain-and-range-of-exp-function-q4.png

Solution

Problem 8 :

domain-and-range-of-exp-function-q5.png

Solution

Problem 9 :

The volume V, the air remaining in an inflated balloon can be modeled by the function

V = 1000 (0.85)x

where x represents the number of days that have passed since inflating the balloon. What is the reasonable domain for the situation.

Solution

Answer Key

1) domain is (-∞, ∞).

2) range is y > 0

3)  the range is y > 0.

4)  Domain of the function is all real values

5)  the range is y < 0.

6)

  • Domain is all real values.
  • Range is y > 0.

7)  the range is y > -5.

8)  the range is y > -5.

9)  Domain is all real numbers.

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