How do you find the average rate of change of $f (x) = x^{3} - 3 x + 5$ $f(x)=x^3-3x+5$ over [-4,-3]?

Question

1367 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-07T21:54:06

$34$ $34$

Average rate of change may be given by $m=(Deltay)/(Deltax)$

So in this case, when x changes from -4 to -3, y changes from f(-4) to f(-3).

But $f(-4)=(-4)^3-3(-4)+5=-47$

Similarly $f(-3)=(-3)^3-3(-3)+5=-13$

Thus average rate of change (average gradient or slope) between these two points is
$m=(Deltay)/(Deltax)=(-13-(-47))/(-3-(-4))=34$

How do you find the average rate of change of f(x)=x^3-3x+5f(x)=x3−3x+5f(x)=x^3-3x+5 over [-4,-3]?