Question

Given the function f(x) = -3x2 + 4x + 6, find f(2) and f(3). Choose the statement that is true concerning these two values.

The value of f(2) is the same as the value of f(3).

The value of f(2) cannot be compared to the value of f(3).

The value of f(2) is smaller than the value of f(3).

The value of f(2) is larger than the value of f(3).

Answer 1

d

Explanation:

Given is a function

We are to find out the function values for x =2 and 3 and compare them

Substitute x=2 and 3 in the funciton

Obviously

Hence we find that last option is right.

The value of f(2) is larger than the value of f(3)

Answer 2

Option d)

The value of f(2) is larger than the value of f(3)

Explanation:

Given is a function

`f(x) = -3x^2 + 4x + 6`

We are to find out the function values for x =2 and 3 and compare them

Substitute x=2 and 3 in the funciton

`f(2) = -3(2)^2+4(2)+6\\= 2`

`f(3) = -3(3)^2+4(3)+6\\= -9`

Obviously
`f(2)>f(3)`

Hence we find that last option is right.

The value of f(2) is larger than the value of f(3)