1.Findf(a),f(a + h),and the difference quotientf(a + h) − f(a)h,whereh ≠ 0.f(x) = 9x2 + 7f(a) = f(a + h) = f(a + h) − f(a)h = 2.Findf(a), f(a + h),and the difference quotientf(a + h) − f(a)h,where h ≠ 0.f(x) = xx + 4f(a) = f(a + h) = f(a + h) − f(a)h = 3. Find the domain and range of the function. (Enter your answers using interval notation.)f(x) = 7x2 + 4domain range 4.Find the net change in the value of the function between the given inputs.g(t) = 2 − t2; from −6 to 9 5. Find the net change in the value of the function between the given inputs.f(x) = 5 − 4x; from 4 to 6 Evaluate the piecewise defined function at the indicated values.f(x) = 9x if x < −2x + 1 if −2 ≤ x ≤ 5(x − 5)2 if x > 5f(−5) = f(−2) = f(4) = f(5) = f(8) = 6. Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)f(x) = |x|xf(−8) = f(−4) = f(0) = f(1) = f(x2) = , x ≠ 0f 1x =

Name: 1.Findf(a),f(a + h),and the difference quotientf(a + h) − f(a)h,whereh
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Description: 1.Findf(a),f(a + h),and the difference quotientf(a + h) − f(a)h,whereh ≠ 0.f(x) = 9x2 + 7f(a) = f(a + h) = f(a + h) − f(a)h = 2.Findf(a), f(a + h),and the difference quotientf(a + h) − f(a)h,where h ≠ 0.f(x) = xx + 4f(a) = f(a + h) = f(a

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College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.4: Factoring Polynomials

Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...

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1.Find

f(a),

f(a + h),

and the difference quotient

f(a + h) − f(a)

where

h ≠ 0.

f(x) = 9x² + 7

f(a)

‍

f(a + h)

f(a + h) − f(a)

2.Find

f(a), f(a + h),

and the difference quotient

f(a + h) − f(a)

where h ≠ 0.

f(x) =

x + 4

f(a)

f(a + h)

f(a + h) − f(a)

3. Find the domain and range of the function. (Enter your answers using interval notation.)

f(x) = 7x² + 4

domain
range

4.Find the net change in the value of the function between the given inputs.

g(t) = 2 − t²; from −6 to 9

5. Find the net change in the value of the function between the given inputs.

f(x) = 5 − 4x; from 4 to 6

Evaluate the piecewise defined function at the indicated values.

f(x) =

9x	if x < −2
x + 1	if −2 ≤ x ≤ 5
(x − 5)²	if x > 5

f(−5)	=
f(−2)	=
f(4)	=
f(5)	=
f(8)	=

6. Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)

f(x) =

|x|

f(−8)

f(−4)

f(0)

f(1)

f(x²)

, x ≠ 0

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