For each value of​ x, find the corresponding value for​ f(x).

Question

Use −​2, −​1, 0, 1, and 2 for x and find the corresponding values of​ f(x) for the following exponential function.

f(x) = 5^(x-1)

For each value of​ x, find the corresponding value for​ f(x).

x: f(x) = 5^(x-1)

-2: __

-1: __

0: __

1: __

2: __

Answer 1

f(x) = 5^x-1

Just plug the given values of x into the above equation and compute the answer. I'll do the first two for you. You can complete the rest.

x f(x)

-2 5^-2-1 = 5^-3 = 1/5³ = 1/5·5·5 = 1/125

-1 5^-1-1 = 5^-2 = 1/5² = 1/5·5 = 1/25