Domain and Range Function

Does this Mapping Diagram repersent a function?

• Function

• No Function

• I Don't Know

What are the ordered pairs for this relation? 

• (60,64),(61,65),(62,66),(63,67)

• (64,60),(65,61),(66,62),(67,63)

• (60,66),(61,65),(62,64),(63,67)

• (66,60),(65,61),(64,62),(67,63)

What is the range of the table?

• {-4, 0, 1, 3}

• {-2, 0, 2, 3}

• {-4, -2, 0, 1, 2, 3}

• { (0, 0), (2, -4), (3, 3), (-2, 1) }

What is the range of the graph?

• y ≥ 1

• 1 ≤ y ≤ 5

• 1 ≤ y ≤ 4

• y ≤ 5

• All real numbers

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

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

What is the definition of range and domain in mathematics?

• The range is the set of all possible x values, while the domain is the set of all possible x values.

• The range is the set of all possible x values, while the domain is the set of all possible y values.

• The range is the set of all possible y values, while the domain is the set of all possible x values.

• The range is the set of all possible y values, while the domain is the set of all possible y values.

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

A (a)   is a mathematical relation that maps a set of input values to a set of output values such that each input value is mapped to exactly one output value. The set of input values of a function is called the (b)   , represented by the (c)   variable. The set of output values of a function is called the ​ (d)   , represented by the ​ (e)   variable.​ ​ ​

• function

• domain

• range

• independent

• dependent

A graph is presented. What are the domains for this graph?

• -4,-1,4,5,8

• -6,0,2,3,4

• 1,0,9,-4,5

• -6,0,4,5,8