Real World Graphs
Is the Relation a Function?
Domain/Range
Functions
Definitions
100
Corinna is riding a horse on a carousel. Which graph best represents her distance from the center of the ride in a single rotation?
Graph B
100
Does this graph represents a function? Explain why.
NO! Vertical Line Test - hits two points on the graph!
100
What is the domain and range of the graph below?
D: 0 < = x < = 50
R: 0 < = y < = 2.5
100
The number of variables in a function.
2
100
The x-values and y-values of a relation are called what?
The domain and range
200
Mitch went for a hike. He got halfway up the mountain and realized he had dropped his compass. He turned around and walked back. He found the compass at the point he had stared the hike. He picked it up, then hiked to the top of the mountain. Which graph best represents the total distance he hiked?
Graph A
200
Determine whether each relationship represents a function. Explain your reasoning.
Yes! Every input has exactly one output.
200
identify the domain and range
D) {2, 3, 4}
R) {-1, 1}
200
The test to determine if a graph is a function.
The Vertical Line Test
200
True or False: All relations are functions
False
300
A cup of hot coffee cools down until it reaches room temperature. Which graph best represents the temperature of the coffee?
Graph B
300
Determine whether each relationship represents a function. Explain your reasoning.
Yes! Vertical Line Test - only hits once each time!
300
Michelle incorrectly says that this is not a function because the -1 repeats. Explain why she thinks this (use the terms domain and range in your answer)
Every input must go to exactly one output, but one output can go to multiple inputs
300
True or False:
This relation is a function: {(1,1), (0,3), (9,-2), (4,-2)
Explain why!
True. Every input goes to exactly one output.
300
True or False: All functions are relations
True
400
One day, David decided to ride his bike around town. What might have happened between the 15 - 40 minute part of his ride?
Stopped and rested
400
Determine whether each relationship represents a function. Explain your reasoning.
No! x-values repeat!
400
What is the range?
y > or = -1
400
What is the domain and range of the following:
Domain: x>-5
Range: y>-1
400
List 3 ways of representing a relation.
1. Coordinates
2. Tables
3. Mappings
4. Graphs
500
Story C
500
Determine whether each relationship represents a function. Explain your reasoning.
No! 0 goes to -2 AND to 0.
500
what is the domain?
all real numbers
500
What is the domain and range of the following:
Domain: All Real Numbers
Range: y < or = 4
500
What is a function?
Represents two values and every input goes to exactly one output.