Domain and Range
Domain and range from graph
Domain and range of continuous functions
Functions?
Discrete or Continuous?
Coordinate Plane
Mappings
100
Find the domain of the following relation:
{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}
D: {-5, -1, 0, 2}
100
Identify the domain and range of the following:
D: -2 < x < 4
R: -3 ≤ y ≤ 3
100
What is the domain and range of the following graph?
D: All real numbers (ℝ)
R: All real numbers (ℝ)
100
Does the following represent a function? Why or why not?
{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}
No, -1 has two different outputs.
100
Is the graph discrete or continuous? Why?
Discrete, the points are not connected.
100
What quadrant is point C in?
III
100
Draw a mapping of the following relation:
{(0,5), (0,2), (-1, 2), (1, -5), (4,-3)
200
Find the range of the following relation:
{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}
R:{0, 1, 2, 3}
200
Identify the domain and range of the following graph:
D: -4 < x ≤ 1
R: 0 ≤ y < 4
200
What is the domain and range of the graph?
Domain: x ≥ 0
Range: y ≥ -2
200
Does the following represent a function? Why or why not?
No, -2 goes to both 1 and 3.
200
Is this a discrete or continuous function? Why?
Continuous, the points are connected.
200
What are the coordinates of point B?
(-3,2)
200
Is this a function?
Yes! (every x goes to exactly one y)
300
Find the domain and range of the following relation:
{(0, 1) (0, 2) (0, 0) (0, -2) (0, -8)}
D: {0}
R: {-8, -2, 0, 1, 2}
300
Identify the domain and range of the following:
D: -2 < x < 5
R: -3 < y < 2
300
What is the domain and range of the following?
Domain: ℝ
Range: y ≥ 0
300
Is the following a function? Why?
No, it fails the vertical line test because it crosses the graph 2 times.
300
Is the following scenario discrete or continuous? Why?
The low and high temperatures of the day.
Continuous, because the temperature can be any value between the lowest and highest.
300
Which points have positive x-coordinates?
A, D
300
Write down the ordered pairs for this mapping:
{(-4,10),(-2,0),(5,10), (6,-5)}
400
What is the domain of the following?
D: {2, 3, 5, 7, 9}
400
Determine the domain and range of the graph.
D: -5 < x ≤ 1
R: -3 ≤ y ≤ 1
400
Identify the domain and range of the following graph.
Domain: ℝ
Range: y = -2
400
Is the following a function? Why?
No, it fails the vertical line test because it crosses the graph an infinite number of times.
400
A continuous function has data values that can be ___________. (measured or counted)
Measured
400
What is the origin?
The origin is the point (0,0) in the middle of the coordinate plane
400
True or false: this would be a function if you reversed X and Y.
False! Then the 10 would map to both 5 and -4, so it would not be a function.
500
What is the domain of the following graph:
D: x ≥ 0
500
What is the domain and range of the following?
D: -2 ≤ x ≤ 6
R: -6 ≤ y ≤ 2
500
What is the domain and range of the horizontal line in the graph?
D: -1 < x < 4
R: y = -2
500
Is the following a function? Why?
Yes. It passes the vertical line test. Every input has only 1 output.
500
Give an example of discrete data and continuous data.
Sample discrete: The number of students on the track team.
Sample continuous: The amount of time it took for a student to run a mile.
500
What is the definition of a function?
A relation in which each element of the domain is paired with exactly one element of the range.
500
Draw a mapping that is *not* a function