Graph the function y=1/5(2)^x

. What is the y-intercept?(1 point)
(0,
)

1 answer

To find the y-intercept of the function \( y = \frac{1}{5}(2)^x \), we evaluate the function at \( x = 0 \).

\[ y = \frac{1}{5}(2)^0 \]

Since \( (2)^0 = 1 \):

\[ y = \frac{1}{5} \cdot 1 = \frac{1}{5} \]

Therefore, the y-intercept is at the point \( (0, \frac{1}{5}) \).

So, the answer is:

(0, \(\frac{1}{5}\)).