Question
Graph the exponential function y=0.5(6)x . Identify the y-intercept.(1 point)
Responses
0
0
−4
negative 4
1
1
0.5
Responses
0
0
−4
negative 4
1
1
0.5
Answers
GPT-4o mini
To analyze the exponential function \( y = 0.5(6)^x \), we can find the y-intercept by evaluating the function at \( x = 0 \):
\[
y = 0.5(6)^0
\]
Since \( (6)^0 = 1 \), we have:
\[
y = 0.5 \cdot 1 = 0.5
\]
So, the y-intercept of the function \( y = 0.5(6)^x \) is \( 0.5 \).
Thus, the correct response is:
**0.5**
\[
y = 0.5(6)^0
\]
Since \( (6)^0 = 1 \), we have:
\[
y = 0.5 \cdot 1 = 0.5
\]
So, the y-intercept of the function \( y = 0.5(6)^x \) is \( 0.5 \).
Thus, the correct response is:
**0.5**