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For Neo mat/116 1 Essay: Concept Check In...

For Neo

mat/116

1 Essay: Concept Check

In the space below, type a response to the concept check question(s). Your response must be at least 50 words; it must come from the text book but be explained in your own words.

Explain how the slope of two equations can determine if the graphs will be perpendicular, parallel, or intersecting.

Response:

2 Function Values

Using the given functions, find the function values.

You must show all of your work; do not skip steps. (1/2 point each)

Provide the three coordinates you would use to create the graph of each function. You must put them in the proper format.

a

f(x)=x+5 f(3) (insert from equation editor below)

f(2.4) (insert from equation editor below)

f(2/3) (insert from equation editor below)

If you were to graph this function, what three points would you plot based on these function values?

b f(x)=2x^2-3x f(6) (insert from equation editor below)

f(-1/2) (insert from equation editor below)

f(0) (insert from equation editor below)

If you were to graph this function, what three points would you plot based on these function values?

c

g(s)=3s+4 g(1) (insert from equation editor below)

g(-7) (insert from equation editor below)

g(100) (insert from equation editor below)

If you were to graph this function, what three points would you plot based on these function values?

3 Multiple Choice/True & False

The following questions contain material from the text book and may possibly have been discussed in Week 5. Read the question and provide the correct corresponding letter where indicated. When required, you must also provide the section and page number of the text book where you find the reference; I must be able to locate the information. Where applicable, you must have the correct answer and a correct reference for credit.

a The _____________________________ of an equation is a drawing that represents all of its solutions.

relation

graph

formula

points

(answer) (reference-section/pg)

b True or False: On a graph, if no end points are indicated, the domain will be the set of all real numbers.

(answer) (reference-section/pg)

c True or False: A function written in the form of f(x)=mx+b, when graphed can be any shape.

(answer) (reference-section/pg)

d Given the linear equation 4y+8x=12, the y-intercept is:

12

4y

3

Cannot be determined

(answer) (reference-section/pg) No reference required

e Given the linear equation 10x+3y-9=7-2y+x, the slope is:

9

0

undefined

-9/5

(answer) (reference-section/pg) No reference required

4 Functions

Looking at the following graphs, determine if it is a graph of a function. (1 point)

Explain your reasoning. (1 point)

Is this a function?

Explain your reasoning.

Is this a function?

Explain your reasoning.

Is this a function?

Explain your reasoning.

Continued on next page:

5 Finding the Equation

Answer the following questions about the pictured graph. You must show all work and use equation editor as required.

a What two coordinates are plotted on this graph (the dots)? (1 point) correct format required

b Use slope formula (chapter 3) to find the slope of this line. (1 point) You must show your work using Equation Editor.

EE

answer

c Use slope intercept form to determine the y-intercept. You must use Equation Editor. (1 point)

EE

answer

d What is the equation of this line? (1 point)

6 Application

Read the following scenario and apply the concepts from the text book and discussions to answer the questions that follow. You must show your work wherever required using Equation Editor. Make sure to answer the questions entirely for maximum points.

Scenario:

Everyone seems to be keeping their eye on the cost of gas these days. In this real-world application, we will be focusing on a study beginning in the mid 1990’s focusing on the average cost of gas.

The linear equation

y=0.15x+0.79

represents an estimate of the average cost of gas for year x starting in 1997 (“Consumer price index,” 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.

a What year would be represented by the year x=4? (1 point)

(answer)

b What X value represents the year 2018? (1 point)

(answer)

c What is the slope, or rate of change, of this equation? (1 point)

(answer)

d What is the y-intercept of this equation and what does the y-intercept represent (specific to this scenario)? (1 point)

(answer)

e Assuming this growth trend continues, what will the price of gasoline be in the year 2018?

You must show all of the work done to arrive at your answer. (1 point)

You must use Equation Editor. (1 point)

(insert from equation editor below)

EE

mat/116

1 Essay: Concept Check

In the space below, type a response to the concept check question(s). Your response must be at least 50 words; it must come from the text book but be explained in your own words.

Explain how the slope of two equations can determine if the graphs will be perpendicular, parallel, or intersecting.

Response:

2 Function Values

Using the given functions, find the function values.

You must show all of your work; do not skip steps. (1/2 point each)

Provide the three coordinates you would use to create the graph of each function. You must put them in the proper format.

a

f(x)=x+5 f(3) (insert from equation editor below)

f(2.4) (insert from equation editor below)

f(2/3) (insert from equation editor below)

If you were to graph this function, what three points would you plot based on these function values?

b f(x)=2x^2-3x f(6) (insert from equation editor below)

f(-1/2) (insert from equation editor below)

f(0) (insert from equation editor below)

If you were to graph this function, what three points would you plot based on these function values?

c

g(s)=3s+4 g(1) (insert from equation editor below)

g(-7) (insert from equation editor below)

g(100) (insert from equation editor below)

If you were to graph this function, what three points would you plot based on these function values?

3 Multiple Choice/True & False

The following questions contain material from the text book and may possibly have been discussed in Week 5. Read the question and provide the correct corresponding letter where indicated. When required, you must also provide the section and page number of the text book where you find the reference; I must be able to locate the information. Where applicable, you must have the correct answer and a correct reference for credit.

a The _____________________________ of an equation is a drawing that represents all of its solutions.

relation

graph

formula

points

(answer) (reference-section/pg)

b True or False: On a graph, if no end points are indicated, the domain will be the set of all real numbers.

(answer) (reference-section/pg)

c True or False: A function written in the form of f(x)=mx+b, when graphed can be any shape.

(answer) (reference-section/pg)

d Given the linear equation 4y+8x=12, the y-intercept is:

12

4y

3

Cannot be determined

(answer) (reference-section/pg) No reference required

e Given the linear equation 10x+3y-9=7-2y+x, the slope is:

9

0

undefined

-9/5

(answer) (reference-section/pg) No reference required

4 Functions

Looking at the following graphs, determine if it is a graph of a function. (1 point)

Explain your reasoning. (1 point)

Is this a function?

Explain your reasoning.

Is this a function?

Explain your reasoning.

Is this a function?

Explain your reasoning.

Continued on next page:

5 Finding the Equation

Answer the following questions about the pictured graph. You must show all work and use equation editor as required.

a What two coordinates are plotted on this graph (the dots)? (1 point) correct format required

b Use slope formula (chapter 3) to find the slope of this line. (1 point) You must show your work using Equation Editor.

EE

answer

c Use slope intercept form to determine the y-intercept. You must use Equation Editor. (1 point)

EE

answer

d What is the equation of this line? (1 point)

6 Application

Read the following scenario and apply the concepts from the text book and discussions to answer the questions that follow. You must show your work wherever required using Equation Editor. Make sure to answer the questions entirely for maximum points.

Scenario:

Everyone seems to be keeping their eye on the cost of gas these days. In this real-world application, we will be focusing on a study beginning in the mid 1990’s focusing on the average cost of gas.

The linear equation

y=0.15x+0.79

represents an estimate of the average cost of gas for year x starting in 1997 (“Consumer price index,” 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.

a What year would be represented by the year x=4? (1 point)

(answer)

b What X value represents the year 2018? (1 point)

(answer)

c What is the slope, or rate of change, of this equation? (1 point)

(answer)

d What is the y-intercept of this equation and what does the y-intercept represent (specific to this scenario)? (1 point)

(answer)

e Assuming this growth trend continues, what will the price of gasoline be in the year 2018?

You must show all of the work done to arrive at your answer. (1 point)

You must use Equation Editor. (1 point)

(insert from equation editor below)

EE

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