What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4? A) −124 B) −18 C) −36 D) −96

see the explanation

Step-by-step explanation:

we have

This is a linear function in slope intercept form  

where

m is the slope

b is the y-intercept

In this problem

The slope is equal to

Remember that

In a linear function the average rate of chance is a constant and is equal to the slope of the linear function in any interval

therefore

The average rate of change is -3

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation: