What is the range of f(x) = (3/4)^x - 4? {y | y > -4} {y | y < -4}

Solution:

It is given that the function f(x) = (3/4)^x - 4

For any value of x, the value of (3/4)^x is greater than zero.

(3/4)^x > 0

First subtract 4 on both sides

(3/4)^x - 4 > 0 - 4

f (x) > -4

For any value of x, the value of (3/4)^x is greater than -4.

Therefore, the range of the function is all real numbers greater than -4. I.e. (-4, ∞).

What is the range of f(x) = (3/4)^x - 4? {y | y > -4} {y | y < -4}

Summary:

The range of f(x) = (3/4)^x - 4 is all real numbers greater than -4. I.e. (-4, ∞).