The function \(h\) is defined by \(h(x) = a^x + b\), where \(a\) and …

Question

Prompt

The function

h

is defined by

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

, where

a

and

b

are positive constants. The graph of

y = h (x)

in the xy-plane passes through the points

(0, 10)

and

(2, 13)

. What is the value of

ab