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Math Help - linear function

  1. #1
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    linear function

    Suppose that g is the linear function g(x)=mx+b.

    (a) Show that g'(a)= lim_h->0 g(a+h)-g(a)/h=m for every value of a.

    (b) Interpret the result in part (a) in terms of slopes and rates of change.

    I do not understand how do I make mx+b equal that equation
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  2. #2
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    Quote Originally Posted by asweet1 View Post
    Suppose that g is the linear function g(x)=mx+b.

    (a) Show that g'(a)= lim_h->0 g(a+h)-g(a)/h=m for every value of a.

    (b) Interpret the result in part (a) in terms of slopes and rates of change.

    I do not understand how do I make mx+b equal that equation
    Can you evaluate:

    f'(x)=\lim_{h->0}\frac{[m(x+h)+b] - [mx +b]}{h}

    ??

    It should be easy to show that this is equal to m
    Last edited by adkinsjr; October 18th 2009 at 02:56 PM.
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