Question

Please help thank you

Answer 1

The correct answer is C.

Explanation:

First, we can count out answers B and D since they show negative values. There is no number you can raise 4 to in order to get a negative value. From there, we are looking for it to be equal to 8. Answer A has the line at -8, which is not correct.

This leaves us with C, which meets all criteria.

Answer 2

Explanation:

I'm going to make a remark here that emphasizes how you should plot this graph yourself. It is a neat trick to know.

First of all, plot y = 4^(x - 3)

That graph is shown on the left. It is in red.

Now add the right hand side which is y = 8 Where the two graphs intersect is the solution. The graph solves at (4.5,8)

If you know how the graph can be made, you are better armed to pick the right answer.

As you can see A is wrong because y = 8 does not ever meet the red line of y = 4^(x -3) and we know it does,

B is wrong. y = 4^(x -3) can never be negative. It grows infinitely close to x = 0 but the y value is plus.

C is the answer

D never goes minus. See the explanation for B.