Question

What is the domain and range of f(x) = 3(4)^x

Answer 1

Explanation:

Find the y-intercept by setting x = 0: f(0) = 3(4)^0 = 3(1) = 3 => (0, 3)

4^x is never zero, and its graph is always above the y-axis, for both positive and negative x.

Any real number is an acceptable x-value.

Thus the domain is (- infinity, infinity) and the range is (0, infinity).