Given the exponential function y=

Question

3
2
​
(2)
x
, what is the y-intercept?

2
1
​


2

2
3
​


3
2
​

Answer 1

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 \( \frac{3}{2} \).