Graph the exponential function y=0.5(6)^x . Identify the y-intercept.(1 point) Responses 1 1 −4 negative 4 0.5 0.5 0 0

Answer 1

To graph the exponential function \( y = 0.5(6)^x \) and identify the y-intercept, we start by determining the y-intercept.

The y-intercept of a function occurs when \( x = 0 \). Plugging in \( x = 0 \):

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

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

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

Thus, the y-intercept is at the point \( (0, 0.5) \).

Summary:

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