10
QuizMultiple Choice

Exponential Growth Functions — Quiz

Question 10 • Algebra: Concepts and Connections

A function of the form f of x is equal to A b to the x th power is modified so that the b value remains the same but the a value is increased by 2 How do the domain and range of the new function compare to the domain and range of the original function? Choose two correct answers.

Answer
A
The domain stays the same.
B
The range becomes y is greater than or equal to 2 .
C
The range stays the same.
D
The domain becomes x is greater than or equal to 2 .
E
The domain becomes x is greater than 2 .
F
The range becomes y is greater than 2 .

Explanation

For an exponential function f(x) = A·bˣ, the domain is all real numbers. Changing A to A + 2 does not restrict which x-values can be used, so the domain stays the same. With the usual positive values of A and b, the range remains all positive y-values, so the range stays the same as well.

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