Piecewise, Greatest and Least Integer Functions

Oliver, Ethan, and Mason are working on a project to decipher a coded message from an ancient artifact. They come across a mysterious piecewise function. They believe that solving this could reveal the secret message. Help them in evaluating the piecewise function for f(2). Remember, only type the number in the answer.

Aria, Avery, and Priya are on a treasure hunt in an old mansion. They come across a mysterious scroll with a piecewise function. The scroll guides them to find the value of f(0) to uncover the hidden treasure. Can you help them solve it? Remember, only type the number in the answer.

Mason, Oliver, and Benjamin are on a quest to find a secret code. They came across a mysterious piece of paper with a piecewise function, and they need to evaluate it for f(3) to unlock the next hint. Can you help them in solving it? Remember, only type the number in the answer.

Abigail, Nora, and Sophia are at a farmers market. They see a sign at a fruit stall that says 'We use the greatest integer function for pricing'. They are puzzled about what this means. Can you help them understand? What is the definition of the greatest integer function?

• Abigail thinks the greatest integer function rounds a real number to the nearest odd integer.

• Nora believes the greatest integer function rounds a real number to the nearest even integer.

• Sophia argues that the greatest integer function rounds a real number down to the nearest integer.

• Or is it that the greatest integer function rounds a real number up to the nearest integer?

Henry, Lily, and Mia are at a local farmer's market that uses the greatest integer function for its fruit prices. Henry suggests, 'The price of the apples will be rounded down to the nearest dollar.' Lily disagrees and says, 'No, it will be rounded to the nearest odd dollar.' Mia, on the other hand, thinks it will be rounded to the nearest even dollar. Who is correct?

• Henry is correct: The price of the apples will be rounded down to the nearest dollar.

• Lily is correct: The price of the apples will be rounded to the nearest odd dollar.

• Mia is correct: The price of the apples will be rounded to the nearest even dollar.

• None of them are correct: The price of the apples will be rounded up to the nearest dollar greater than or equal to the price.

Elijah, James, and Abigail are planning a treasure hunt. They find an old pirate map with a series of numbers. They deduce that these numbers represent the greatest integer function. Can you assist them in understanding how this function is depicted graphically?

• Linear function

• Exponential function

• Quadratic function

• Step function

Evelyn, Aria, and Liam are on a hiking adventure. They found a signboard that reads: 'The waterfall is located at the greatest integer of -3.8 miles from here.' What does this signboard indicate?

• -4.5 miles

• -3 miles

• -5 miles

• -4 miles

Liam, Abigail, and Benjamin are at a grocery store that uses the least integer function. Liam thinks the least number of apples that can be bought more than 5.2 pounds is 4 pounds, Abigail thinks it's 5.5 pounds, and Benjamin thinks it's 6 pounds. Who is correct?

• Liam

• Abigail

• Benjamin

• None of them

Michael, Maya, and Zoe are working on a project to create a perfect green smoothie. They need to figure out the correct proportion of the middle green ingredients. Can you help them find the domain?

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

Ava, Nora, and Abigail are planning to mail a book as a birthday gift to their friend who lives in another city. The book weighs 2.1 ounces. Can you help them figure out the cost of mailing the package?

• 43 cents

• 39 cents

• 41 cents

• 45 cents