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Alinara [238K]
3 years ago
6

What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?

Mathematics
2 answers:
Troyanec [42]3 years ago
5 0
D 1 is the correct answers
Misha Larkins [42]3 years ago
5 0

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ - 2, 2 ] , then

f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15

f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then

average rate of change = \frac{15-11}{2-(-2)} = \frac{4}{4} = 1 → C

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1. Check the drawing of the rhombus ABCD in the picture attached.

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     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

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3 years ago
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