Graph the exponential function y=0.5(6)x

Question

𝑦
=
0.5
(
6
)
𝑥
. Identify the y-intercept.(1 point)
Responses

1
1

0
0

0.5
0.5

−4

Answer 1

To identify the y-intercept of the exponential function \( y = 0.5(6)^x \), we need to evaluate the function at \( x = 0 \).

When \( x = 0 \): \[ y = 0.5(6)^0 \] Since \( (6)^0 = 1 \): \[ y = 0.5 \times 1 = 0.5 \]

So the y-intercept of the function is \( (0, 0.5) \).

Therefore, the answer is: 0.5