If the given function $g$ is graphed in the $xy$-plane, where $y=g(x)$, what is the $y$-intercept of the graph?
$$g(x)=3(\frac{3}{2})^x$$
Answer:
C
Explanation
The correct answer is Choice C.
Substitute $x=0$ in the given function to find the $y$-intercept.
Therefore, the $y$-intercept of the given function is $(0,3)$.
Choice A is incorrect and may have resulted from thinking that a number with an exponent 0 is equal to 0.
Choices B and D are incorrect and may have resulted from misinterpreting $y$-intercept.
✨ Expert's Tip ✨
An alternate method is to plot the graph of the function and find the $y$-intercept.