The function $f$ is defined by $f(x) = a^x + b$, where $a$ and $b$ ar…

Question

Prompt

The function

f

is defined by

f (x) = a^{x} + b

, where

a

and

b

are constants. In the xy-plane, the graph of

y = f (x)

has an x-intercept at

(2, 0)

and a y-intercept at

(0, - 15)

. What is the value of

b