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

Responses

−4
negative 4

0
0

0.5
0.5

1

1 answer

To identify the y-intercept of the exponential function \( y = 0.5(6)^x \), we evaluate the function at \( x = 0 \).

  1. Substitute \( x = 0 \) into the function: \[ y = 0.5(6)^0 \]
  2. Since \( (6)^0 = 1 \): \[ y = 0.5 \times 1 = 0.5 \]

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

Final Answer: \( 0.5 \)