Graph the exponential function y=0.5(6)x

Question

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

1
1

−4
negative 4

0.5
0.5

0

Answer 1

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

Calculating the y-intercept:

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

Since \( 6^0 = 1 \):

\[ y = 0.5 \times 1 = 0.5 \]

So the y-intercept is \( 0.5 \).

Conclusion:

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