Answer:
f(15) = 242
Step-by-step explanation:
Step 1: Define
f(x) = 2(4 - x)²
f(15) = x = 15
Step 2: Substitute and Evaluate
f(15) = 2(4 - 15)²
f(15) = 2(-11)²
f(15) = 2(121)
f(15) = 242
Step-by-step explanation:
Take the first derivative


Set the derivative equal to 0.




or

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function

So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function


So the local min occurs at -2, at x=1
Just divide 36 by 48, and you will get that he made 75% of his free throws.
-16t^2 + 25t + 8 = 10
-16t^2 + 25t - 2 = 0
t = 1.48 seconds