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

2 Answers

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

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.

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eagudelo | Student, College Freshman | (Level 1) Honors

Posted on

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.