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borishaifa [10]
3 years ago
10

Two students in your class, Hunter and Maggie, are disputing a function. Hunter says that for the function, between x = -2 and x

= 2, the average rate of change is 0. Maggie says that for the function, between x = -2 and x = 2, the graph goes up through a turning point, and then back down. Explain how Hunter and Maggie can both be correct, using complete sentences.
Mathematics
1 answer:
kirill115 [55]3 years ago
5 0
They can both be correct because if 0 is the turning point their answers are the same
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when a decimalis written in word form, what indicates that the equivelent form is a mixed number and not a fraction
UkoKoshka [18]

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"point"

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4 years ago
A. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic appr
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a. p1(x) = 2 - x

b. p2(x) = x² - 3*x + 3

c. p1(0.97) = 1.03; p2(0.97) = 1.0309

Step-by-step explanation:

f(x) = 1/x

f'(x) =  -1/x²

f''(x) = 2/x³

a = 1

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p1(x) = f(a) + f'(a)*(x - a)

p1(x) = 1/1 + -1/1² * (x - 1)

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b. The quadratic approximating polynomial is:

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p2(x) = 2 - x + 1/2 * 2/1³ * (x - 1)²

p2(x) = 2 - x + (x - 1)²

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p2(x) = x² - 3*x + 3

c. approximate 1/0.97 using p1(x)

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approximate 1/0.97 using p2(x)

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3 years ago
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