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3 years ago

Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11

Mathematics

1 answer:

White raven [17]3 years ago

8 0

Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for $f(x)=x^2-3x-10$ from x = 4 to x = 6

The formula used to find average rate of change is:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

Where b = 6 and x = 4

Finding f(6):

$f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8$

Finding f(4):

$f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6$

Now Putting values:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

$Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7$

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

#learnwithBrainly

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