Question

Given the function f(x) = −5x2 + 2x + 9, find f(1) and f(2). Choose the statement that is true concerning these two values.

The value of f(1) cannot be compared to the value of f(2).
The value of f(2) is larger than the value of f(1).
The value of f(2) is smaller than the value of f(1).
The value of f(1) is the same as the value of f(2).

Answer 1

`f(x) = - 5 {x}^(2) + 2x + 9 \\ f(1) = - 5(1) + 2(1) + 9 = 6 \\ f(2) = - 5(2) + 2(2) + 9 =3 \\ f(1) > f(2)`

Answer 2

The value of f(2) is smaller than the value of f(1).