Question

PLEASE HELP ASAP!!!!

Answer 1

The answer is A.) F(x) = 10(2.5)^x.

Since our base (2.5) is greater than 1, our graph would be increasing, hence it matches the given graph (it increases to the right, or towards quadrant I). Now all we need to do is solve for the y-intercept:
   F(x) = 10(2.5)^x
   F(0) = 10(2.5)^0 [substitute 0 in for x]
   F(0) = 10(1) [any number raised to 0 would always equal 1]
   y-intercept: 10 
Now does it match the graph? Yes, it does.

Thus, our exponential function for this graph would be F(x) = 10(2.5)^x.
Tip for life: When solving for the y-intercept of exponential functions, our y-intercept is always the number in front of the base (in this case, 10(2.5)^x).

Hope this helps.