F(x) = x2 + 5
This function comes from the basic function f(x) = x2 with the constant 5 added to the outside. This gives the basic function a vertical shift UP 5 units.
Well, your equation is linear and not quadratic. Is the -8x supposed to be squared?
Average rate=(change in y)/(change in x)
if f(x)=-x/3
r=( f(2)-f(-2) )/(2--2)
r=(-2/3-2/3)/(2+2)
r=(-4/3)/4
r=-4/12
r=-1/3
For a line, this is always true, since all lines have a constant velocity, the average velocity over any interval is equal to the slope.
Y=1 1/3x + 6
Slope = y2-y1/x2-x1
2- -2 = 4
-3 - -6 = 3
4/3 = 1 1/3
