AlianaI120299 AlianaI120299
  • 03-11-2022
  • Mathematics
contestada

Given the function h(x) = x^2 + 3x - 1 determine the average rate of change of the function over the interval -7 ≤ x ≤ 5

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LainaD381445 LainaD381445
  • 03-11-2022

Given:

[tex]x^2+3x-1[/tex]

Find: average rate of change of the function over the interval -7 ≤ x ≤ 5

Explanation: the average rate of change of the function is

[tex]\begin{gathered} \frac{f(b)-f(a)}{b-a} \\ \end{gathered}[/tex][tex]\begin{gathered} f(b)=f(5)=5^2+15-1 \\ =25+15-1 \\ =39 \\ f(a)=f(-7)=(-7)^2-21-1 \\ =49-22 \\ =27 \end{gathered}[/tex][tex]\frac{f(b)-f(a)}{b-a}=\frac{39-27}{5-(-7)}=\frac{12}{12}=1[/tex]

Final answer: the required answer is 1.

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