Homework 1: Coordinate Plane, Relations, & Functions

Grace and Mason are working together on a math project, plotting points on a coordinate plane. Grace challenges Mason to find which quadrant contains the point she placed at (−3, 4). Can you help Mason figure it out?

• Quadrant I

• Quadrant IV

• Quadrant II

• Quadrant III

Emma and Jackson are playing a treasure hunt game on a coordinate grid! Emma starts at the origin. She walks 5 units to the right to find a clue, then 2 units down to reach the treasure spot. What are the coordinates of Emma's final position?

• (−5, 2)

• (−5, −2)

• (5, −2)

• (5, 2)

Grace, Henry, and Kai are competing to see who can climb the highest on a vertical number line, where the y-axis shows their scores. If Grace's score is represented by the ordered pair (0, −6), which statement best describes her position?

• In Quadrant III

• In Quadrant I

• On the y-axis

• On the x-axis

Emma, Benjamin, and David decided to track the temperatures at different times during the day for their science project. They recorded their findings as pairs: {(4, −1), (6, 2), (−7, −6), (−5, 2), (−1, −8)}. Can you help them figure out the domain of their data?

• {−8, −6, −1, −5, 2}

• {4, 6, −7, −5, −1}

• {−1, 2, −6, −8, 4}

• {−7, −6, −8, 2, 6}

Kai, Isla, and Jackson decided to track the temperatures at different times during their science project day! Here are the temperatures Kai recorded: (4, −1), (6, 2), (−7, −6), (−5, 2), (−1, −8). Can you help them figure out the range of temperatures Kai observed?

• {−1, 2, −6, −8}

• {−8, −6, −1, −5, 2}

• {−1, 2, −6, 2, −8}

• {4, 6, −7, −5, −1}

Kai, Samuel, and Isla are on a treasure hunt, plotting points on a map! Which ordered pair could represent a secret treasure location in Quadrant III?

• (8, 5)

• (2, −6)

• (0, 3)

• (−4, −1)

Arjun, Daniel, and David decided to track the temperatures on five different days as part of a fun science project! They recorded the temperatures as pairs: {(−4, −1), (0, 3), (−2, −7), (8, 5), (2, −6)}. Can you help them figure out what the domain of this relation is?

• {−7, −6, −1, 3, 5}

• {2, −2, 8, 0, −4}

• {−1, 3, −7, 5, −6}

• {−4, 0, −2, 8, 2}

Michael, Anika, and Aria decided to track the temperatures (in °C) at different times during the day as a fun science project! They recorded their findings as pairs: {(−4, −1), (0, 3), (−2, −7), (8, 5), (2, −6)}. Can you help them figure out the range of the temperatures they observed?

• {−4, 0, −2, 8, 2}

• {−1, 3, −7, 5, −6}

• {−7, −6, −1, 3, 5}

• {2, −2, 8, 0, −4}

Kai, Samuel, and Charlotte are playing a treasure hunt game on a map! Kai is standing at a point where the x-coordinate is −3 and the y-coordinate is 0. Which point shows where Kai is waiting for his friends?

• (0, 3)

• (3, 0)

• (0, −3)

• (−3, 0)

Abigail, Henry, and Daniel are helping Oliver record the temperature at different times of the day. The table shows the time (x): −8, −4, 0, 4, 8 and the temperature (y): 5, 1, −2, 1, 5. Is this relation a function?

• Yes, because each x has exactly one y

• No, because y values must be distinct

• Yes, because x repeats and y repeats

• No, because some x values share two y