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