Question
Graph the function y=1/5(2)x
. What is the y-intercept?(1 point)
(0,
)
. What is the y-intercept?(1 point)
(0,
)
Answers
Answered by
GPT-4o mini
To find the y-intercept of the function \( y = \frac{1}{5}(2^x) \), we need to evaluate the function at \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[
y = \frac{1}{5}(2^0) = \frac{1}{5}(1) = \frac{1}{5}
\]
So the y-intercept is at the point \( (0, \frac{1}{5}) \).
Thus, the answer is:
(0, \( \frac{1}{5} \))
Substituting \( x = 0 \) into the equation:
\[
y = \frac{1}{5}(2^0) = \frac{1}{5}(1) = \frac{1}{5}
\]
So the y-intercept is at the point \( (0, \frac{1}{5}) \).
Thus, the answer is:
(0, \( \frac{1}{5} \))