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