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1 year ago

Given the function f(x)=x^2+7x+6f(x)=x

Mathematics

1 answer:

Sonbull [250]1 year ago

8 0

The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2

<h3>What is the average rate of change the function?</h3>

The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.

It is expressed as;

Given the data in the question;

f( x ) = x² + 7x + 6
Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]

Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )

Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )

Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )

Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )

Average rate of change = ( 0 + 6 ) / ( 3 )

Average rate of change = 6 / 3

Average rate of change = 2

Therefore, the average rate of change of the function is 2.

Learn more about average rate of change here: brainly.com/question/28744270

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

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horsena [70]

Answer:

$y=-55x+275$

Explanation:

The given points are:

(0, 275)
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Since a straight line joins all the points, the equation that models the relationship is linear and you can find the slope-intercept equation which has the general form:

$y=mx+b$

Where:

$m$ is the slope

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You can use any two ordered pairs.

m = rise/run = Δy/Δx = [220 - 275] /[1 - 0] = - 55

2. Find the y-intercept

The y-intercept is the value of y when x = 0; thus it is 275.

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3. Substitute in the slope-intercept equation

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That is the last option.

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3 years ago

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3 years ago

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SIZIF [17.4K]

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