Question

Send help my way please y'all so smart

Answer 1

Selection D

Explanation:

Based on the equation f(x) = 3(.5)^x, we can see that this function is an exponential function.

This eliminates selection B

We can also see that the A value (3) is positive, and therefore will slope upwards.

This eliminates selection C

Now you are left with selections A and D

The difference between the two is their y-intercepts and the origin points.

So let's start by trying out a y-intercept point

In selection A, the y-intercept is (0,1)

Let's plug this into the equation y = 3(.5)^x

`1 = 3(.5)^0\\`

Anything to the power of 0 is equal to 1

3 x 1 does not equal 1

Therefore, this eliminates selection A

The only one left is . . . . . Answer D!

Hope this helps!

If you wanted to check the answer, plug in the y-intercept into the equation

The y-intercept for D is (0,3)

`3= 3(.5)^0`

Again, anything to the 0 power is equal to 1, leaving us with:

3 = 3 x 1

This statement is true, and therefore Answer D is correct

Answer 2

Graph A is the correct one