Given the exponential function y=2(

Question

3
1
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)
x
, what is the y-intercept?

3

2

2
1
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3
1
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Answer 1

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 \( 2 \).