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JulijaS [17]
1 year ago
9

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

#SPJ1

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Both have 6 faces, so we will be adding six values together for each.

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Hopefully you can imagine the six different faces.  It's kinda like a cereal box.

The front and back of a cereal box have the same area, as do the two sides and the top and bottom, so that makes it a little easier.

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Container B has a similar setup, I won't write out everything like I did unless you want me to work it out with you.

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