Functions Domain and Range

A holiday church's meal costs $12.50 a person plus a delivery fee of $30. The equation is: f(x)=30+12.5x, where x is the number of hungry people. If there are 15 people in the church, what is the DOMAIN?

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

• 0, 42.50, 55, 67.50, 80, 92.50, 105, 117.50, ....

• None of the above.

A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: f(x)=100-10x, where x is the number of questions incorrect. What is the DOMAIN?

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

• 0 < x < 10

• x < 10

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased.  If at least 4 games but no more than 7 games are purchased online, what is the RANGE of the function for this situation?

• {4, 5, 6, 7}

• 4 ≤ x ≤ 7

• 72.55 ≤ c ≤ 123.50

• {72.55, 89.50, 106.45, 123.40}

Which is the set of all y-values or the outputs?

• Domain

• Range

• Relation

• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Find the domain and range of each relation. If all real numbers, type in all real numbers

Mathematical Equivalence

OFF

Find the domain and range of this function.

x​ (a)   ​ (b)  

y​ (c)   ​ (d)  

• -3

• 4

• -5

• 1

• <

• >

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What are the domain and range of the function shown? The Domain is ​ (a)   The Range is ​ (b)  

• { x | x ≤ 6}

• { y | y ≥ -2}

• { x | x > -2}

• { x | x ≥ -2}

• { x | x < 6}

• { y | y < 6}

• { y | y ≤ 6}

• { y | y > -2}

• { y | y ≤ -2}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What are the domain and range of the function shown below.

The domain is ​ (a)  

The range is ​ (b)  

• { x | x > -4 }

• { y | y < 6 }

• { x | x ≥ -4 }

• { x | x < 6 }

• { x | x ≤ 6 }

• { y | y ≤ 6 }

• { y | y > -4 }

• { y | y ≥ -4}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.

Find the domain​ (a)   ​ and range ​ (b)   of the graph.​

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5