mean value theorem

[jon12]

use the mean value theorem to work out this function: f(x)= ?2-x on the interval [-7,2].If this can be applied here find the points at which the slope of a line tangent to the graph is equal to the slope of the secant line at the endpoints of the given interval. Can someone work this out for me, I am confused please help.

 

[Deleted member 4993]

use the mean value theorem to work out this function: f(x)= ?2-x on the interval [-7,2].If this can be applied here find the points at which the slope of a line tangent to the graph is equal to the slope of the secant line at the endpoints of the given interval. Can someone work this out for me, I am confused please help.

Do you have:

\(\displaystyle f(x) \ = \ \sqrt{2-x}\)

or

\(\displaystyle f(x) \ = \ \sqrt{2} \ - \ x\)

In either case check the restriction on the domain of the function.

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