Domain and Range

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}

Look at the graph; because the domain is semi-restricted the Range will also be semi-restricted. This means it has only one end point and it's infinite on the other side. What is the Range? Hint: for the range you look at the bottom of the graph and that's the first value you write, and then you look at the top of the graph and that's the second value you write.

What is the RANGE?

• {-3, 3]

• all real numbers

• [-4, 5]

• [-4, ∞)

The student council set its members on four field trips during the school year.  The number of buses needed to transport the members on each trip is a function of the number of members who went on the trip.  This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6).  What is the domain for this situation?

• {52, 105}

• {3, 4, 5, 6}

• {52, 72, 86, 105}

• {3, 4, 5, 52, 72, 86, 105}

The total cost in dollars to buy uniforms for the players on the volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought.  If there are at least 8 players but not more than 12 players on team, what is the domain of the situation?

• 0 < u ≤ 12

• 0 < c ≤ 425.65

• {8, 9, 10, 11, 12}

• {295.85, 320.80, 355.75, 390.70, 425.65}

What is the Range?

• All real numbers

• y > 3

• y = 4

• y ≥ 3

This graph has a Restricted Domain. What is it?

• [0, 2]

• [taco, tuesday]

• -4, 6

• (0,2)

This graph has a Semi- Restricted Domain because it has an end point on one side only, and it's infinite on the right side (notice the arrow). What is the Domain?

What's the equation and domain?

• y = 3x + 3, D: [-1, 1]

• y = 3x - 3, D: (-1, 1]

• y = 3x - 3, D: (-1, 1)

• y = -3x - 3, D: [-1, 1]

What is the Domain?

• All real numbers

• x > 3

• x = 4

• x ≥ 3