Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

A: -6
B: -1/2
C: 1/4
D: 1

Question

12-05-2017
Mathematics

contestada

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

A: -6
B: -1/2
C: 1/4
D: 1

Respuesta :

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jdoe0001 jdoe0001 · Answer 1 · 2017-05-13T00:23:52+02:00

[tex]\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}\\\\ -----------------------------\\\\ f(x)=17-x^2\quad \begin{cases} x_1=1\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(1)}{5-1} \\\\\\ \cfrac{(17-5^2)-(17-1^2)}{5-1}\implies \cfrac{-8-16}{4}\implies \cfrac{-24}{4}\implies -6[/tex]

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]? A: -6 B: -1/2 C: 1/4 D: 1

Respuesta :

Otras preguntas

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

A: -6
B: -1/2
C: 1/4
D: 1