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3 years ago

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -6<= x <= 6?

Mathematics

1 answer:

VMariaS [17]3 years ago

4 0

Answer:

- 1

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 ] = [ - 6, 6 ]

From the graph

f(b) = f(6) = - 2

f(a) = f(- 6) = 10 , thus

average rate of change = $\frac{-2-10}{6-(-6)}$ = $\frac{-12}{12}$ = - 1

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4 years ago

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prohojiy [21]

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By Pythagoras' Theorem,

we have x² + (x + 2)² = (x + 4)².

=> 2x² + 4x + 4 = x² + 8x + 16

=> x² - 4x - 12 = 0

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P.S. What you see above is the full solution. You just need to type x² - 4x - 12 = 0 in the blank.

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