Relations & Functions
Objectives - Determine if a relation is a function - Determine if a function is continuous or discrete - Construct the graphs of continuous or discrete functions
start
recall
The coordinate plane is made by the intersection of a vertical number line (y-axis) and a horizontal number line (x-axis). Points in the coordinate plane are written as ordered pairs in the form (x,y). For example Point A (-2, 3) Point B (3, 1) Point C (4, -3) Point D (-3, -4)
next
Vocabulary
Function Relation Vertical Line Test Discrete Continuous
Open for a list of vocab definitions
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all functions are relations,but not all relations are functions.
A RELATION is a pairing of input value (x) and output values (y) A FUNCTION is a relation where each input has exactly one output. In other words, each x-value matches up with only one y-value.
next
function or not?
look at the mappings below and decide.
next
function or not?
look at the x-y tables and decide.
next
Your turn!
Function or not a function?
next
a relation can be graphed
next
look at a graph to determine if a relation is a function.
use the vertical line test!
Since a function has no repeating x-values, a vertical line will not cross the graph of a function more than once. By drawing a vertical line through the graph to the left, you can see that each x-value has only one y-value. This relation IS a function!
next
function or not?
look at the graphs and decide. use the vertical line test.
next
Your turn!
Function or not a function?
next
Your turn!
Function or not a function?
next
4 minutes to join the Kahoot!
next
You can classify a function as discrete or continuous.
A Continuous Function contains all of the values on an interval.
A Discrete Function consists of only a certain number of points.
next
discrete or continuous?
next
discrete or continuous?
next
discrete or continuous?
next
discrete or continuous ?
discrete or continuous ?
In a popular video game, you are awarded 100 points for completing the tutorial mission and 45 additional points for every mission completed thereafter. Total points (y) after (x) successful missions is represented by the equation y=45x+100
The gas mileage of a hybrid SUV is 37 miles per gallon. The distance (y) the SUV travels over (m) miles is represented by the function m = 37g
next
Your turn!
A carton of eggs holds 18 individual eggs. The number of eggs purchased by the baker (e) if given by the function e = 18c, where c is the number of cartons purchased.
next
next
you should be able to
Objectives - Determine if a relation is a function - Determine if a function is continuous or discrete - Construct the graphs of continuous or discrete functions
home
Function, non, discrete,continuous
HS: High School
Created on September 3, 2024
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Transcript
Relations & Functions
Objectives - Determine if a relation is a function - Determine if a function is continuous or discrete - Construct the graphs of continuous or discrete functions
start
recall
The coordinate plane is made by the intersection of a vertical number line (y-axis) and a horizontal number line (x-axis). Points in the coordinate plane are written as ordered pairs in the form (x,y). For example Point A (-2, 3) Point B (3, 1) Point C (4, -3) Point D (-3, -4)
next
Vocabulary
Function Relation Vertical Line Test Discrete Continuous
Open for a list of vocab definitions
next
all functions are relations,but not all relations are functions.
A RELATION is a pairing of input value (x) and output values (y) A FUNCTION is a relation where each input has exactly one output. In other words, each x-value matches up with only one y-value.
next
function or not?
look at the mappings below and decide.
next
function or not?
look at the x-y tables and decide.
next
Your turn!
Function or not a function?
next
a relation can be graphed
next
look at a graph to determine if a relation is a function.
use the vertical line test!
Since a function has no repeating x-values, a vertical line will not cross the graph of a function more than once. By drawing a vertical line through the graph to the left, you can see that each x-value has only one y-value. This relation IS a function!
next
function or not?
look at the graphs and decide. use the vertical line test.
next
Your turn!
Function or not a function?
next
Your turn!
Function or not a function?
next
4 minutes to join the Kahoot!
next
You can classify a function as discrete or continuous.
A Continuous Function contains all of the values on an interval.
A Discrete Function consists of only a certain number of points.
next
discrete or continuous?
next
discrete or continuous?
next
discrete or continuous?
next
discrete or continuous ?
discrete or continuous ?
In a popular video game, you are awarded 100 points for completing the tutorial mission and 45 additional points for every mission completed thereafter. Total points (y) after (x) successful missions is represented by the equation y=45x+100
The gas mileage of a hybrid SUV is 37 miles per gallon. The distance (y) the SUV travels over (m) miles is represented by the function m = 37g
next
Your turn!
A carton of eggs holds 18 individual eggs. The number of eggs purchased by the baker (e) if given by the function e = 18c, where c is the number of cartons purchased.
next
next
you should be able to
Objectives - Determine if a relation is a function - Determine if a function is continuous or discrete - Construct the graphs of continuous or discrete functions
home