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=\frac{y_2-y_1}{x_2-x_1}$$m=\frac{-2-0}{3-(-3)}$$m=\frac{-2}{6}$$m=\frac{-1}{3}$

The equation of the line is

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

Substitute the values in the equation.

$y-(0)=\frac{-1}{3}(x-(-3))$$y=\frac{-1}{3}(x+3)$$y=\frac{-x}{3}-1$

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

$y=\frac{-x}{3}-1$