Given the exponential function y=8(4)

Question

x
, what is the y-intercept?

8

8
1
​


4
1
​


4

Answer 1

To find the y-intercept of the exponential function \( y = 8(4^x) \), we need to evaluate the function at \( x = 0 \).

Substituting \( x = 0 \) into the function:

\[ y = 8(4^0) \]

Since \( 4^0 = 1 \):

\[ y = 8(1) = 8 \]

Thus, the y-intercept is \( 8 \).