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

Question

Responses

0.5
0.5

0
0

1
1

−4

Answer 1

To graph the exponential function \( y = 0.5(6)^x \) and identify the y-intercept, follow these steps:

1. Finding the y-intercept: The y-intercept of a function occurs when \( x = 0 \). \[ y = 0.5(6)^0 = 0.5(1) = 0.5 \]

2. Identifying the options: The calculated y-intercept is \( 0.5 \).

Now, let's look at the options provided:

• 0.5
• 0
• 1
• -4

The correct answer is:

0.5

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