Question

I know that f(3)=23 I just have no clue how to fill out the graph, please help! (All the information is in the attached image)

Answer 1

f(3) = 8

Step-by-step explanation:

The function we have is

`f(x)=x^3-3x^2+5x-7`

To find f(3), we evaluate the above function at x = 3. This gives

`f(3)=3^3-3*3^2+5*3-7`

which simplifies to give

`f(3)=27-27+15-7`
`\Rightarrow\boxed{f(3)=8.}`

To fill the table given, we evaluate the function at various values of x and record our output values.

Using the same approach as above, we find that

f(-2) = -37

f(-1) = -16

f(0) = -7

f(1) = -4

f(2) = -1

which we use to fill in the table.