When Is a Relation a Function?
Read this topicExplanations 3
- Relations vs. Functions A relation is just a relationship between xxx and yyy-coordinates. It maps inputs to outputs. example:y2=x\text{example:}\quad y^2=xexample:y2=x Notice t…
By Ben Ferrara, Alex Federspiel, Amy Feraco, Anusha Rahman, Caroline K
- (Video) Determining if a Relationship is a Function by HCCMathHelp Here's a video by HCCMathHelp that goes over how you can tell when a relation is a function. Summary\large{\te…
By Alex Federspiel, Anusha Rahman
- When is a Relation a Function? Recall that a relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all function…
By Caroline K, Gabi Slizewska
Problems 23
- Does the relation mapped above define a function?
- At a coffee shop, the menu consists of items and their prices. Is price a function of the item? Is the item a function of the price?
- Let’s consider bank account information. Is your balance a function of your bank account number? (if you input a bank account number does it make sense that the output is your b…
- Select all of the following tables which represent yyy as a function of xxx.
- Which of the following conditions makes a relation a function?
- Which of the following connections could be removed in order to make this relation a function?
- Which of the following, if any, must be removed in order to make the relation a function?
- Which of the following sets of ordered pairs is represented by the mapping shown above?
- A music hall holds 200200200 people. Each ticket costs 15\1515. A function can be written that describes the total income of the venue as a function of the first 444 tickets sol…
- State the input and output values of the function represented above.
- Does the mapping above represent a function? If not, which input value is preventing it from being a function?
- Which of the following functions is represented above?
- Which of the following functions could be represented by the mapping above?
- Does this relation represent a function?
- Which of the following domain values makes the relation above not a function?
- The mapping above represents the function used to convert the temperature from Celsius to Fahrenheit: F(C)=95C+32F(C)=\frac{9}{5}C+32F(C)=59C+32. What will the temperature in F…
- Match each object (part of the function) with its corresponding color represented by the mapping above.
- Which of the following sets of ordered pairs does not represent a function?
- Which of the following functions is being represented by the mapping above?
- Consider the relation: {(1,2),(4,3),(2,4),(x,5),(y,7)}\{(1,2), (4,3), (2,4), (x,5), (y,7)\}{(1,2),(4,3),(2,4),(x,5),(y,7)} What values could xxx and yyy be that would make the r…
- Lindsey constructed a table of two variables; one being her homework grade in math, the other being the time she spends each day on math. What will the ordered pairs definitely …
- Which of the following situations could the function above represent? Give the most reasonable answer.
- True or False\text{True or False}True or False === y=x2y=x^2y=x2 is not a function because inputs have up to two outputs.