Question

This is from my prep guideI will provide the answer options in another picture

Answer 1

In order to determine the corresponding graph to the given function f(x), consider the y-intercept of the function (the value of the y-coordinate of the curve when x = 0).

The y-intercept is the value of f(x) for x= 0. Replace x = 0 into the given function:

`f(0)=((1)/(2))^(0+1)+3=(1)/(2)+3=(7)/(2)`

Then, the point of intersection of the curve with the y-axis is (0 , 7/2) or (0 , 3.5).

You can notice that from the given answer choices, that option two (up right side) has the required y-intercept. Then, that graph matches with the given function.