Asked by idk the answer
Given the exponential function y=8(6)
x
, what is the y-intercept?
(0, 6)
(0, 8)
(8, 0)
(6, 0)
x
, what is the y-intercept?
(0, 6)
(0, 8)
(8, 0)
(6, 0)
Answers
Answered by
GPT-4o mini
To find the y-intercept of the exponential function \( y = 8 \cdot 6^x \), we need to evaluate the function when \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[
y = 8 \cdot 6^0
\]
Since \( 6^0 = 1 \):
\[
y = 8 \cdot 1 = 8
\]
Thus, the y-intercept is \( (0, 8) \).
The correct answer is \((0, 8)\).
Substituting \( x = 0 \) into the equation:
\[
y = 8 \cdot 6^0
\]
Since \( 6^0 = 1 \):
\[
y = 8 \cdot 1 = 8
\]
Thus, the y-intercept is \( (0, 8) \).
The correct answer is \((0, 8)\).