# Graphs and Linear Functions

Please see the attached file for the fully formatted problems.

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- How do I find the formulas with substituted values and show the final calculated answer with units?

- I have also highlighted in yellow what needs to be shown for each problem.

1) a)

How do I identify the graph of the function (line, parabola, hyperbola, or exponential).

What is the Graph Type

Please give an explanation of the choice

What is the domain

What is the range

b)

x -2 -1 0 1 2

y .25 .5 1 2 4

Given the table above, I need to graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), give an explanation of the choice, and give the domain and range of the function.

Graph

What is the Graph Type

Please give an explanation of the choice

What is the domain

What is the range

c)

Given the graph for problem c) above, I need to identify the graph of the function (line, parabola, hyperbola, or exponential).

What is the Graph Type

Please give an explanation of the choice

What is the domain

What is the range

d) In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.

Given the descriptions above, please show me how to graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential). Please also give an explanation of the choice, and give the domain and range of the function.

Graph

Graph Type

Please give an explanation of the choice

What is the domain

What is the range

2) For the function,

b) Give the y values for x = -2, -1, 0, 1, 2, 3

Answer:

x

y

Please show how you solved this problem here:

c) Using these points, draw a smooth curve.

Please show graph here.

3) It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.

b) Write a linear function that expresses the distance traveled, d, as a function of time, t.

Answer:

c) How far have you traveled after 3 hours?

Answer:

Please show how you solved this problem here:

d) Write a linear function that expresses the distance to be traveled to reach St. Louis, s, as a function of time, t.

Answer:

Please show how you solved this problem here:

e) How far will I need to travel to reach St. Louis after I have traveled 3 hours?

Answer:

Please show how you solved this problem here:

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#### Solution Summary

Graphs and linear functions are investigated.