Question

Given the function f(x) = −2x2 + 3x + 10, find f(1) and f(3). Choose the statement that is true concerning these two values.

Answer 1

Explanation:

The given function is f(x) = -2x² + 3x + 10. We are asked to find f(1) and f(3).To find f(1), we substitute 1 in the place of x in the given function and evaluate it.

That is,f(1) = -2(1)² + 3(1) + 10= -2 + 3 + 10= 11To find f(3), we substitute 3 in the place of x in the given function and evaluate it.
That is,f(3) = -2(3)² + 3(3) + 10= -18 + 9 + 10= 1We see that f(1) is larger than f(3).

Hence, the correct answer is "The value of f(1) is larger than the value of f(3)."

Answer 2

The value of f(1) is greater than value of f(3)

Explanation:

We substitute..x = 1..into the given equation....where we say...

; -2(1)^2 + 3(1) + 10 = 11

Then we substitute..x = 3..into the given equation

;-2(3)^2 + 3(3) + 10

;-2(9) + 9 + 10 = 1

If f(1) = 11 and f(3) = 1...then the value of f(1) is greater than the value of f(3)