Function and Domain and Range

• {-2, 3, 7}

• [-2, 7]

• {1, 2, 3, 4}

• [1, 4]

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Is this graph a function or not a function? 

• Function

• Not a Function

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values paired with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values paired with it.

• No, because each x-value has only one y-value paired with it.

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

The set of input values in a function is called ​ (a)  

• domain

• range

• function

The ​ (a)   is the set of all input values for a relation or function (the x terms)

• Domain

• Range

• Input

• Output

What is the input set of a function usually called?

• The Variable

• The Set

• The Range

• The Domain

The set of all x-values is the ​ (a)  

• Domain

• RAnge

• Range

• Variables

• Slope

Which of the following is the set of all values that f(x) can take?

• Range

• Intercept

• Domain

• Zeroes