What is the slope of the function?f(x)= -2x-9 if x<-3    

Expert Answers
sciencesolve eNotes educator| Certified Educator

You should know that you may find the slope of the line converting the equation of the function to the slope intercept form such that:

`y = mx + n`

m represents the slope of the line `y = mx + n`

Reasoning by analogy, you need to convert the equation of the function `f(x) = -2x - 9`  to the form mentioned above such that:

`y = -2x - 9`

Notice that the slope is given by the leading coefficient such that:

`m = -2`

Hence, evaluating the slope of the given function yields `m=-` 2.

eagudelo | Student

If we look at f(x)= -2x-9 if x<-3
                           -4 if -3<x<1
                           x-5 if 1<x<4
                          -3/2x+3 if 4<x then we know that when x is between -3 and 1, f(x)=-4. If you graphf(x)=-4 you will see that it will simply be a horizontal line. And the slope of any horizontal line will ALWAYS be zero. So the slope of the function over the interval -3<x<1 is zero.