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anygoal [31]
3 years ago
6

5. Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7. my equation is F(x) =

3 (x-3)^2 + 4 in vertex form and and y = 3x^2 - 18x +31. Any ideas how to do this would be super helpful and I'll give you a medal!
Mathematics
1 answer:
Alik [6]3 years ago
3 0
The average rate of change of function describes the average rate at which y-value ( or f(x)) is changing with respect to changing x-value.
The average rate of change=\frac{ y_{1}- y_{2}  }{ x_{1} - x_{2} } In this exaple is x1=4 and x2=7 and we will find y1 and y2:
y1=3(4-3)²+4=3*1+4=7
y2=3(7-3)²+4=3*16+4=48+4=52
Finally:\frac{52-7}{7-4}= \frac{45}{3} =15
Answer: The average rate of change for f(x) from x=4 to x=7 is 15.
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The two options are:

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Step-by-step explanation:

When two polynomials are subtracted the difference is

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To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2

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