Question

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

f(−1) =

f(1) =

f(2) =

Answer 1

Explanation:

The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.

1. When x=-1, then

f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.

2. When x=1, then

f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.

3. When x=2, then

f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.

Answer 2

f(-1)=2

f(1)=6

f(2)=11

Explanation:

The given function is
`f(x)=2x^3-3x^2+7`

Substitute x = -1 to find the value of f(-1)

`f(-1)=2(-1)^3-3(-1)^2+7\\\\=-2-3+7\\\\=2`

Thus, f(-1)=2

Substitute x = 1 to find the value of f(1)

`f(1)=2(1)^3-3(1)^2+7\\\\=2-3+7\\\\=6`

Thus, f(1)=6

Substitute x = 2 to find the value of f(2)

`f(2)=2(2)^3-3(2)^2+7\\\\=16-12+7\\\\=11`

Thus, f(2)=11