Functions

These are the rules that relate two values, one from a set of inputs and the second from the set of outputs.

• Functions

• Ranges

• Relations

• Domains

These are rules that relate only one value from the set of outputs to a value from the set of inputs

• Functions

• Ranges

• Relations

• Domains

Which of the following relations is/are function/s?

•  $x=\left\{\left(1,2\right),\left(3,4\right),\left(1,7\right),\left(5,1\right)\right\}$  

•  $g=\left\{\left(3,2\right),\left(2,1\right),\left(8,2\right),\left(5,7\right)\right\}$  

•  $h=\left\{\left(4,1\right),\left(2,3\right),\left(2,6\right),\left(7,2\right)\right\}$  

•  $y=\left\{\left(2,9\right),\left(3,4\right),\left(9,2\right),\left(6,7\right)\right\}$  

In a relation, what do you call the set of x values or the input?

• Function

• Range

• Piecewise

• Domain

What is the range of the function shown by the diagram?

• R: {3,2,1}

• R: {a,b}

• R:{3,2,1,a,b}

• R:{all real numbers}

Which of the following tables represent function?

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Which of the following real-life relationships represent a function?

• The rule which assigns to each person the name of his aunt.

• The rule which assigns to each person the name of his father

• The rule which assigns to each cellular phone unit to its phone number.

• The rule which assigns to each person a name of his pet.

Which of the following relations is NOT a function?

• The rule which assigns a capital city to each province.

• The rule which assigns a President to each country.

• The rule which assigns religion to each person.

• The rule which assigns tourist spot to each province.

A person is earning ₱500.00 per day for doing a certain job. Which of the following expresses the total salary S as a function of the number n of days that the person works?

• $S\left(n\right)=500+n$

• $S\left(n\right)=\frac{500}{n}$

• $S\left(n\right)=500n$

• $S\left(n\right)=500-n$

A jeepney ride in Carmona costs ₱ 10.00 for the first 4 kilometers, and each additional kilometers adds ₱0.75 to the fare. What type of function can  best represent this real-life situation?

• Linear function

• Exponential function

• Piecewise function

• Rational function