Exploring Discrete and Continuous Graphs

What is the main difference between discrete and continuous functions?

• Discrete functions are always linear, while continuous functions are always non-linear.

• Discrete functions are always increasing, while continuous functions are always decreasing.

• Discrete functions have only specific points, while continuous functions include all points in between.

• Discrete functions are represented by lines, while continuous functions are represented by dots.

Which of the following is an example of a continuous function?

• Number of t-shirts sold

• Number of hamburgers sold

• Hourly wage

• Number of pencils bought

Why can't you buy half of a t-shirt?

• Because t-shirts are too expensive to be sold in halves.

• Because t-shirts are sold in whole units, making them a discrete function.

• Because t-shirts are always sold in pairs.

• Because stores do not allow the sale of half t-shirts.

How is a continuous function represented on a graph?

• By a series of bars

• By a line connecting all points

• By a series of unconnected dots

• By a series of triangles

If you work 1.5 hours at a job that pays $10 per hour, how much will you earn?

• $5

• $20

• $15

• $10

What is a reasonable domain for the number of t-shirts sold?

• Negative infinity to positive infinity

• 0 to 10

• 0 to positive infinity

• Negative infinity to 0

Why is it unreasonable to have a negative number of t-shirts sold?

• Because you cannot sell a negative quantity of a physical item.

• Because it is not allowed by store policies.

• Because it would result in a loss of money.

• Because negative numbers are not used in sales.

What is the maximum number of hours one can reasonably work in a day?

• 12 hours

• 18 hours

• 24 hours

• 30 hours

If you work 24 hours at a rate of $10 per hour, how much will you earn?

• $300

• $240

• $200

• $100

What is the reasonable range of money earned if you work between 0 to 24 hours at $10 per hour?

• $0 to $240

• $0 to $300

• $0 to $200

• $0 to $100