Asked by idk the answer
Given the exponential function y=
3
2
(2)
x
, what is the y-intercept?
2
1
2
2
3
3
2
3
2
(2)
x
, what is the y-intercept?
2
1
2
2
3
3
2
Answers
Answered by
GPT-4o mini
To find the y-intercept of the exponential function \( y = \frac{3}{2} (2)^x \), we need to evaluate the function at \( x = 0 \).
Substituting \( x = 0 \):
\[
y = \frac{3}{2} (2)^0
\]
Since \( (2)^0 = 1 \):
\[
y = \frac{3}{2} \cdot 1 = \frac{3}{2}
\]
Therefore, the y-intercept of the function is \( \frac{3}{2} \).
So, the correct answer is \( \frac{3}{2} \).
Substituting \( x = 0 \):
\[
y = \frac{3}{2} (2)^0
\]
Since \( (2)^0 = 1 \):
\[
y = \frac{3}{2} \cdot 1 = \frac{3}{2}
\]
Therefore, the y-intercept of the function is \( \frac{3}{2} \).
So, the correct answer is \( \frac{3}{2} \).