Question

I'm learning Exponential Functions and the videos aren't helping. I could really use some help. I chose H but there are more that are really getting to me.

Answer 1

Answer:
H. q(x) = 0.0625 · (4)^{x}
Step-by-step explanation:

Answer 2

H. q(x) = 0.0625 ·
`(4)^(x)`

Step-by-step explanation:

The inside fo the parenthesis is the rate of the exponential function. You can find this by dividing the second term by the first (or 3rd by 2nd, etc. etc.).

r = 0.25 / 0.0625

r = 4

The coefficient is the the value of y at x = 0, because when you plug in x = 0, the portion with the exponent is equal to 1. It's easier to understand when I write it out.

q(0) = 0.0625 ·
`(4)^(0)`

= 0.0625 · 1

= 0.0625

If all else fails, and you're given a table, you can plug in some x values to see if you get the correct y value.

I hope this helps!