To find the values of f(x) in the table, we can plug in the given values of x into the equation f(x)=−x^2+50x.
For x = 5:
f(5) = -5^2 + 50*5
f(5) = -25 + 250
f(5) = 225
For x = 10:
f(10) = -10^2 + 50*10
f(10) = -100 + 500
f(10) = 400
For x = 15:
f(15) = -15^2 + 50*15
f(15) = -225 + 750
f(15) = 525
For x = 20:
f(20) = -20^2 + 50*20
f(20) = -400 + 1000
f(20) = 600
Therefore, the values of f(x) in the table are:
5 -> 225
10 -> 400
15 -> 525
20 -> 600
Jackie has 50 feet of fencing that he can use to make a small rectangular pen for his llamas in his backyard. He is trying to decide how long to make the pen. The quadratic function f(x)=−x2+50x gives the area of the pen, in square feet, when he makes it x
feet long.
What are the values of f(x)
in the table below?
(4 points)
x
f(x)
5
10
15
20
1 answer