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Otrada [13]
4 years ago
14

What is the average rate of change for h(x)=x^2+x-6

Mathematics
1 answer:
arlik [135]4 years ago
4 0

\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ h(x)=x^2+x-6 \qquad \begin{cases} x_1=0\\ x_2=3 \end{cases}\implies \cfrac{h(3)-h(0)}{3-0} \\\\\\ \cfrac{(3^2+3-6)~~-~~(0^2+0-6)}{3}\implies \cfrac{(6)-(-6)}{3} \\\\\\ \cfrac{6+6}{3}\implies \cfrac{12}{3}\implies 4

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<h3>How to determine the distance?</h3>

The point is given as:

(x, y, z) = (-4,3,-6)

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The distance between the point and the origin is calculated as:

d = \sqrt{x^2 + y^2 + z^2

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