Given the exponential function y=8(6)

Question

x
, what is the y-intercept?

(0, 6)

(0, 8)

(8, 0)

(6, 0)

Answer 1

To find the y-intercept of the exponential function \( y = 8 \cdot 6^x \), we need to evaluate the function when \( x = 0 \).

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

\[ y = 8 \cdot 6^0 \]

Since \( 6^0 = 1 \):

\[ y = 8 \cdot 1 = 8 \]

Thus, the y-intercept is \( (0, 8) \).

The correct answer is \((0, 8)\).