What type of function is y=2^x +8

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y =  aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8        ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.