From the table below calculate the quantities asked for: x 7 −2 10 2 f(x) 425 2 1178 10 g(x) 97 7 199 7 f′(x) 173 2 338 18 g′(x) 28 −8 40 88 f(−2) /g(−2)+5 = (fg)′(−2) = (f/g)′(−2) = (fg)(2) =

From the table below calculate the quantities asked for: x 7 −2 10 2 f(x) 425 2 1178 10 g(x) 97 7 199 7 f′(x) 173 2 338 18 g′(x) 28 −8 40 88 f(−2) /g(−2)+5 = (fg)′(−2) = (f/g)′(−2) = (fg)(2) =

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

Constructing new functions from old ones and calculating the derivative of the new function from the derivatives of the old functions:
From the table below calculate the quantities asked for:

x	7	−2	10	2
f(x)	425	2	1178	10
g(x)	97	7	199	7
f′(x)	173	2	338	18
g′(x)	28	−8	40	88

f(−2) /g(−2)+5 =

(fg)′(−2) =

(f/g)′(−2) =

(fg)(2) =

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