Question

Would appreciate a step by step answer to this question! :)

Answer 1

For the function f(x) , the two values are gvien .

`f(-3)=0,\text{ f}(3)=-2`

For determine the function f(x).

First find the slope of the equation.

`m=(y_2-y_1)/(x_2-x_1)`
`m=(-2-0)/(3-(-3))`
`m=(-2)/(6)`
`m=(-1)/(3)`

The equation of the line is

`y-y_1=m(x-x_1)`

Substitute the values in the equation.

`y-(0)=(-1)/(3)(x-(-3))`
`y=(-1)/(3)(x+3)`
`y=(-x)/(3)-1`

Thus the fucntion f(x) =y is formed which is defined as

`y=(-x)/(3)-1`