16
practice testMultiple Choice

Practice Test

Question 16 • Mathematics III

What are the domain and range of the function f of x is equal to 5 raised to the x minus 3 power plus 1 ?

Answer
A
domain: all real numbers less than 5 range: all real numbers greater than 1
B
domain: all real numbers greater than 1 range: all real numbers
C
domain: all real numbers range: all real numbers greater than 0
D
domain: all real numbers range: all real numbers greater than 1

Explanation

The exponent x − 3 can take any real value, so the function is defined for every real x. Since 5^(x − 3) is always positive, adding 1 makes every output greater than 1; the range is all real numbers greater than 1.

AI-written and checked against the verified answer.

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