Answer:
Step-by-step explanation:
Given is a function
Average slope of this function is change of f(x) in (-2,6)/change of x in (-2,6)
=
By mean value theorem there exists a c such that f'(c) = -18
i.e.
Using quadratic formula
x = 2.61, -1.277
Out of these only 2.61 lies in the given interval
c = 2.61
Taking the change in y over the change in x. Then the correct option is A.
<h3>What is the equation of a line passing through two points?</h3>Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
The equation of the line can be determined by the two known points.
Taking the change in y over the change in x.
Then the correct option is A.
Learn more about straight-line equations here:
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