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 \( y = 0.5(6)^x \) and identify the y-intercept:

1. Finding the y-intercept: The y-intercept is the point where the graph intersects the y-axis, which occurs at \( x = 0 \). We can find the y-coordinate at this point by substituting \( x = 0 \) into the function:

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

   Since any number raised to the power of 0 is 1, we have:

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

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

2. Conclusion: The correct response regarding the y-intercept of the function is:

   0.5.