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1/5 Domain and Range

Last updated about 1 year ago
9 questions
Note from the author:
For all graphs, plot the y-intercept and the next point.
For all graphs, plot the y-intercept and the next point.
1

The function c=1/2m+1 describes the cost (c) in dollars of a phone call that lasts for (m) minutes made from a room at the Shady Tree Hotel. Graph the function.

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
1

A toy rocket is at an altitude of 16 feet. It begins to descend at a rate of 2 feet per minute. Sketch a graph of the toy rocket.

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
1
Write a linear function to represent the graph in problem number 2.

_______
1

The function d, f(d) = 8g, describes that the distance (d) that Rick can drive his truck on (g) gallons of gas. Graph this function

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
1

The function E = 8t +150, describes the elevation (E) that Rick hikes on a mountain and (t) is the amount of time in seconds. What does the slope mean and the y-intercept mean in this context?

1
Mary receives $20 as a birthday present. She starts a savings account with the money and adds $5 to the account each week.
What is the y intercept. Write as an ordered pair?_______
Write an equation in slope intercept form_______
How much money will Mary have in her account after 9 weeks?_______
1
John has a savings account with $400. Each month John withdraws $50 without putting any money into the account. Use the graph in the show your work section to help solve the questions below. For the domain and range use notations: {x| } or {y| }

Write the equation in slope intercept form?
_______
List the range in interval notation?
_______
List the domain in interval notation?
_______
1
A plane is initially in the air at 40,000 ft. The plane begins to land and comes down at a rate of 800 ft. per minute.
After how many minutes will the plane land?_______
Write the Domain as an interval notation_______
Write the Range as an interval notation_______
1

What is the domain of the function? Use the graph in the show your work section to help solve the answer.