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1/5 Domain and Range

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Last updated over 1 year ago
9 questions
Note from the author:
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For all graphs, plot the y-intercept and the next point.
For all graphs, plot the y-intercept and the next point.
Question 1
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 a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
  • 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.
  • After creating your graph, you can check the dashed line box.
Question 2
2.

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 a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
  • 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.
  • After creating your graph, you can check the dashed line box.
Question 3
3.
Write a linear function to represent the graph in problem number 2.

_______
Question 4
4.

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 a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
  • 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.
  • After creating your graph, you can check the dashed line box.
Question 5
5.

Question 6
6.
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?_______
Question 7
7.
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?
_______
Question 8
8.
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_______
Question 9
9.

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?
The slope is 8 and it means that Rick is hiking down the mountain at 8 feet per second. The y-intercept is 150 and is the elevation at his starting point
The slope is 150 and it means that Rick is hiking up the mountain at 8 feet per second. The y-intercept is 8 and is the elevation at his starting point.
The slope is 8 and it means that Rick is hiking up the mountain at 8 feet per second. The y-intercept is 150 and is the elevation at his starting point.
The slope is 8 and is represents that amount of time Rick has been hiking the mountain. The y intercept is 150 and it is the total amount of time Rick spent hiking on the mountain.
What is the domain of the function? Use the graph in the show your work section to help solve the answer.
{0, 1, 2, 3, 4}