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2 years ago

Match the average rates of change of f(x) to the corresponding intervals.

Mathematics

1 answer:

spin [16.1K]2 years ago

6 0

The average rates of change of f(x) and their corresponding intervals are given as:

Interval Rate of Change

[-5, -1] -8

[-4, -1] -7

[-3, 1] -4

[-2, 1] -3.

<h3>What is the explanation for the above?
</h3>

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

= - 7

c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
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Step-by-step explanation:

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Where do I place the coordinates for -2x-5 and -x-4

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Step-by-step explanation:

you need to calculate coordinates first. just by having the function definitions you don't have any coordinates yet.

I typically pick x = 0 as a first point.

so, that gives

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the point on line 1 is then (0, -5)

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