Mon Jan 21 2013 11:59 PM CST Question 12345678910 - [PDF Document] (2024)

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Question1 2 3 4 5 6 7 8 9 10

MATH 1150 HW Section 2.2 (3055896)

Due: Mon Jan 21 2013 11:59 PM CST

1. ­Question Details sprecalc6 2.2.010.nva [1614327]

Sketch the graph of the function by first making a table of values.

f(x) = 0 ≤ x ≤ 5

x

0 ­3.5

1 ­3

2 ­2.5

3 ­2

4 ­1.5

5 ­1

segment: [(0,­3.5),(5,­1)]

,x − 72

f(x) = x − 72

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2. ­Question Details SPreCalc6 2.2.015. [1615471]

Sketch the graph of the function by first making a table of values.

x

−3 ­35

−2 ­16

−1 ­9

0 ­8

1 ­7

2 0

3 19

Sketch the graph.

g(x) = x3 − 8

g(x) = x3 − 8

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3. ­Question Details SPreCalc6 2.2.027. [1616156]

Sketch the graph of the function by first making a table of values.

x

−5 24

−2 12

0 4

1 0

2 4

5 16

Sketch the graph.

f(x) = |4x − 4|

f(x) = |4x − 4|

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4. ­Question Details sprecalc6 2.2.035.nva [1615189]

Sketch the graph of the piecewise defined function.

f(x) = 8 if x < 6x − 1 if x ≥ 6

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5. ­Question Details sprecalc6 2.2.042.nva [1615149]

Sketch the graph of the piecewise defined function.

f(x) = 5 − x2 if x ≤ 2

x if x > 2

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6. ­Question Details SPreCalc6 2.2.045. [1616085]

Sketch the graph of the piecewise defined function.

f(x) = 4 if x < −2x2 if −2 ≤ x ≤ 2−x + 6 if x > 2

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7. ­Question Details sprecalc6 2.2.053.mi.nva [1613875]

Use the Vertical Line Test to determine whether the curve is the graph of a function x. State the domain and range of thefunction. (If the curve is not a function, choose NONE.)

Domain:

Range:

The given curve is the graph of a function of x, by the Vertical Line Test.

The given curve is not the graph of a function of x, by the Vertical Line Test.

NONE

(­3, 2)

[­3, 2]

(­2, 2)

[­2, 2]

[­2, 2]

(­2, 2)

[­3, 2)

[­3, 2]

NONE

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8. ­Question Details sprecalc6 2.2.055.nva [1613525]

Use the Vertical Line Test to determine whether the curve is the graph of a function x. If it is, state the domain and rangeof the function.

Domain:

Range:

The given curve is the graph of a function of x, by the Vertical Line Test.

The given curve is not the graph of a function of x, by the Vertical Line Test.

(­4, 4)

(­4, 4)

[­4, 4]

none

[­7, 7]

[­4, 4]

none

(­7, 7)

(­4, 4)

[­7, 7]

9. ­Question Details SPreCalc6 2.2.059. [1695640]

Determine whether the equation defines y as a function of x. (See Example 9.)

x = y2

is a function

is not a function

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Question1 2 3 4 5 6

MATH 1150 HW Section 2.3 (3055895)

Due: Mon Jan 21 2013 11:59 PM CST

1. ­Question Details sprecalc6 2.3.005.mi.nva [1613754]

The graph of a function h is given.

(a) Find h(­2), h(0), h(2),and h(3).h(­2) = 2h(0) = 0h(2) = 4h(3) = 5

(b) Find the domain and range of h.Domain

Range

(c) Find the values of x for which h(x) = 4. (Enter your answers as a comma­separated list.) ­3, 2, 4

(d) Find the values of x for which h(x) ≤ 4.

(­3, 4)

[­3,4]

[3, 4]

[0, 5]

(0, 5)

[­3,4]

(­3, 4)

(0, 5)

[0, 5]

[3, 4]

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[­3, 2] and 4

[2, 4] and ­3

(2,4)

(­3, 2)

­3, 2, 4

2. ­Question Details sprecalc6 2.3.007.mi.nva [1615790]

The graph of a function g is given.

(a) State the following values. Assume that all values are integers.g(­4) = 5g(­2) = 4g(0) = 0g(2) = 3g(4) = 2

(b) State the domain and range of g.Domain

Range

[­4, 4]

[2, 4]

(­4, 4)

[0, 5]

(0, 5)

(0, 5)

(2,4]

[0, 5]

[2, 4]

[­4, 4]

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3. ­Question Details sprecalc6 2.3.019.mi.nva [1616257]

The graph of a function is given.

(a) Determine the interval(s) on which the function is increasing. (Select all that apply.)

(b) Determine the interval(s) on which the function is decreasing. (Select all that apply.)

[­2, 0]

[­2, 1]

[­2, 3]

[0, 1]

[1, 3]

[0, 3]

[­2, 0]

[­2, 1]

[­2, 3]

[0, 1]

[1, 3]

[0, 3]

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4. ­Question Details sprecalc6 2.3.021.nva [2293941]

The graph of a function is given.

(a) Determine the interval(s) on which the function is increasing. (Select all that apply.)

(b) Determine the interval(s) on which the function is decreasing. (Select all that apply.)

[−4, −3]

[−3, −2]

[−2, −1]

[−1, 1]

[1, 4]

[−4, −3]

[−3, −2]

[−2, −1]

[−1, 1]

[1, 4]

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5. ­Question Details sprecalc6 2.3.031.nva [1616027]

The graph of a function is given.

(a) Find all the local maximum and minimum values of the function as well as the value of x at which each occurs.

local maximum (x, y) = ( )

local minimum (x, y) = ( ) (smaller x­value)

local minimum (x, y) = ( ) (larger x­value)

(b) Find the intervals on which the function is increasing, and on which the function is decreasing.Increasing:

Decreasing:

(­∞, ∞)

[0, ∞)

(­∞, ­3] ∪ [0, 2] [­3, 0] ∪ [2, ∞)

[­2, 4] ∪ [1, ∞)

(­∞, ­3] ∪ [0, 2][­3, 0] ∪ [2, ∞) [­3, 2]

(∞, ­2] ∪ [4, 1](­∞, 0]

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Assignment Details

6. ­Question Details sprecalc6 2.3.033.nva [1616312]

The graph of a function is given.

(a) Find all the local maximum and minimum values of the function as well as the value of x at which each occurs.

local maximum (x, y) = ( ) (smaller x­value)

local maximum (x, y) = ( ) (larger x­value)

local minimum (x, y) = ( ) (smaller x­value)

local minimum (x, y) = ( ) (larger x­value)

(b) Find the intervals on which the function is increasing, and on which the function is decreasing.Increasing:

Decreasing:

[­3, 0] ∪ [2, 5](­∞, ­3] ∪ [0, 2] ∪ [5,∞)

[­3, 2] ∪ [2, 6][­10, 2] ∪ [­6, 6]

(­∞, 0] ∪ [0, 5]

[­10, ­6]

(­∞, ­3] ∪ [0, 2] ∪ [5, ∞)

(­∞, ­10] ∪ [2, 2] ∪ [5, ∞)(­∞, ­10] ∪ [2, ­6] ∪ [6, ∞)

[­3, 0] ∪ [2, 5]

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Question1 2 3 4 5 6

MATH 1150 HW Section 2.4 (3055894)

Assignment Details

Due: Mon Jan 21 2013 11:59 PM CST

1. ­Question Details SPreCalc6 2.4.009.MI. [1699259]

A function is given. Determine the average rate of change of the function between the given values of the variable.

9

f(x) = 9x − 8; x = 2, x = 3

2. ­Question Details SPreCalc6 2.4.011.MI. [1699223]

A function is given. Determine the average rate of change of the function between the given values of the variable.

6

h(t) = t2 + 4t; t = −1, t = 3

3. ­Question Details SPreCalc6 2.4.013.MI. [1699243]

A function is given. Determine the average rate of change of the function between the given values of the variable.

70

f(x) = x3 − 3x2; x = 0, x = 10

4. ­Question Details sprecalc6 2.4.015.mi.nva [1699268]

A function is given. Determine the average rate of change of the function between the given values of the variable.

f(x) = 3x2; x = 4, x = 4 + h

5. ­Question Details sprecalc6 2.4.017.mi.nva [1614944]

A function is given below. Determine the average rate of change of the function between x = ­4 and x = ­4 + h.

6. ­Question Details sprecalc6 2.4.019.nva [1695666]

A function is given. Determine the average rate of change of the function between the given values of the variable.

f(t) = ; t = a, t = a + h3t