10
QuizMultiple Choice

Exponential Functions — Test

Question 10 • Mathematics I

What is the range of f of x is equal to 3 fourths to the x th power minus 4 ?

Answer
A
start set y such that y is greater than 3 fourths end set
B
start set y such that y is greater than negative 4 end set
C
start set y such that y is less than negative 4 end set
D
start set y such that y is less than 3 fourths end set

Explanation

For every real x, (3/4)^x is positive, so its values are always greater than 0. Subtracting 4 shifts all those values down by 4, making f(x) always greater than −4 but never equal to −4. The range is therefore the set of y-values greater than −4, choice B.

AI-written and checked against the verified answer.

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