Graph the exponential function y=0.5(6)x . Identify the y-intercept.(1 point)

Responses

0
0

0.5
0.5

−4
negative 4

1
1

1 answer

To graph the exponential function \( y = 0.5(6)^x \) and identify the y-intercept, let's analyze the function:

  1. Y-Intercept: The y-intercept of a function occurs where \( x = 0 \).

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

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

    \[ y = 0.5(1) = 0.5 \]

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

So the correct response is:

0.5.