Question

What is the range of f(x) = (three-fourths) Superscript x – 4?

{y | y > –4}
Left-brace y vertical line y greater-than three-fourths right-brace
{y | y < –4}
Left-brace y vertical line y less-than three-fourths right-brace

Answer 1

Range: {y | y > −4}.

Reason: (3/4)^x > 0 for all real x, so (3/4)^x − 4 takes values greater than −4 (approaches −4 from above as x → ∞ and → ∞ as x → −∞).