Understanding Functions: Domain and Range

Eric is selling raffle tickets for a school fundraiser, with each ticket priced at $3. The amount of money collected is a function of the number of tickets sold, represented as m(t) = 3t. The domain of this function is non-negative integers, as Eric cannot sell negative or fractional tickets. The range is non-negative multiples of 3, as the money collected will always be a multiple of 3. The video explains these concepts in a straightforward manner, emphasizing the practical constraints of the situation.

What is the cost of each raffle ticket Eric is selling?

• $3

• $1

• $2

• $4

What does the function m(t) represent in this context?

• The number of tickets sold

• The cost of each ticket

• The total money collected

• The number of people attending

How is the function m(t) defined?

• m(t) = 3t

• m(t) = t / 3

• m(t) = t + 3

• m(t) = t - 3

What is the domain of the function m(t)?

• Positive integers only

• Negative integers

• All real numbers

• Non-negative integers

Why can't Eric sell a negative number of tickets?

• Because tickets are physical items

• Because tickets are expensive

• Because he doesn't have enough tickets

• Because negative numbers are not allowed in this context

What is the range of the function m(t)?

• All multiples of 2

• All multiples of 5

• All non-negative multiples of 3

• All positive numbers

Which of the following amounts can Eric collect?

• $2

• $4

• $6

• $5

If Eric sells 0 tickets, how much money does he collect?

• $0

• $9

• $6

• $3

If Eric sells 1 ticket, how much money does he collect?

• $9

• $6

• $3

• $0

If Eric sells 2 tickets, how much money does he collect?

• $0

• $9

• $3

• $6