Mon Jan 21 2013 11:59 PM CST Question 12345678910

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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

javascript:doDetail('0')



2. Question Details SPreCalc6 2.2.015. [1615471]


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






x

−5 24

−2 12

0 4

1 0

2 4

5 16

Sketch the graph.

f(x) = |4x − 4|

f(x) = |4x − 4|





Sketch the graph of the piecewise defined function.

f(x) = 8 if x < 6x − 1 if x ≥ 6






f(x) = 5 − x2 if x ≤ 2

x if x > 2






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




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





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]


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)



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]




[3, 2] and 4

[2, 4] and 3

(2,4)

(3, 2)

3, 2, 4


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]





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]






(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]






(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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(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


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



6

h(t) = t2 + 4t; t = −1, t = 3



70

f(x) = x3 − 3x2; x = 0, x = 10



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


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



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







Mon Jan 21 2013 11:59 PM CST Question 12345678910

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