Graph the exponential function y=0.5(6)x

Question

. Identify the y-intercept.(1 point)
Responses

−4
negative 4

0
0

1
1

0.5
0.5

Answer 1

To graph the exponential function \( y = 0.5(6)^x \), we first identify the y-intercept. The y-intercept occurs when \( x = 0 \).

1. Substitute \( x = 0 \) into the function:

   \[ y = 0.5(6)^0 \]

2. Since \( (6)^0 = 1 \):

   \[ y = 0.5 \cdot 1 = 0.5 \]

Therefore, the y-intercept of the function \( y = 0.5(6)^x \) is \( 0.5 \).

The correct response is:

0.5