Applications of Graphing and Word Problems

See attached for graphs.

a) Given the above graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.

Graph Type:

Explanation:

Domain:

Range:

b) Given the above graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.

Graph Type:

Explanation:

Domain:

Range:

c) Given the graph above, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.

Graph Type:

Explanation:

Domain:

Range:

d) Given a line containing the points (1,4), (2,7), and (3,10) determine the slope-intercept form of the equation, and graph the function. Give the domain and range as defined by the points, and also the domain and range of the entire function.

Graph:

Graph Type:

Explanation:

Equation in Slope-Intercept Form:

Domain:

Range:

2) 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 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.

Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph you have drawn, and also the domain and range of the entire function excluding unrealistic values.

Graph:

Graph Type:

Explanation:

Domain:

Range:

3) It is approximately 480 miles from Los Angeles, California, to San Francisco, California. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.

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

b) How far have you traveled after 4 hours?
Answer:
Show work in this space.

c) Write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t.
Answer:
Show work in this space.

d) How far will I need to travel to reach San Francisco after I have traveled 3 hours?
Answer:
Show work in this space.