Domain Range of Functions

What is the domain?

• {-2, -1, 0, 1, 8}

• {3, 5, 7 , 9, 0}

• {-2, -1, 0, 1, 3, 5, 7, 8, 9}

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}

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

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

• Domain

• Range

• Relation

• Function

What is the Range?

• All real numbers

• y ≥ 3

• y > 3

• 3 ≤ y ≤ 8

What is the domain of a relation?

• the set of all x-values

• the set of all y-values

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the RANGE of the function for this situation?

What is the DOMAIN of the function?

• [0, ∞)

• (-∞, ∞)

• (-∞, 0]

• [0, 3]

What is the RANGE of the function?

• -7≤x≤6

• -7<x<6

• -8<y<2

• -8≤y≤2