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Reika [66]
3 years ago
10

What is the average rate of change of f over the interval [3,4]?

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Answer:

4

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 ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = \frac{-1-(-5)}{4-3} = \frac{-1+5}{1} = 4

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In the right triangle ADB

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Step 2

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

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cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}

Step 3

In the right triangle ABC

<u>Find the length of the segment AC</u>

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cos(BAC)=cos (BAD)=\frac{5}{13}

cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}

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BC=31.2\ units

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