Question

graph the function represented in the table on the coordinate plane.

x	-2	-1	0	1	2
y	-3	-1	1	3	5

(coordinate plane and graphing tools shown)

Explanation:

Step1: Identify coordinate pairs

Extract $(x,y)$ from the table: $(-2,-3), (-1,-1), (0,1), (1,3), (2,5)$

Step2: Plot each coordinate pair

Mark each point on the grid:

• For $(-2,-3)$: Move 2 left on x-axis, 3 down on y-axis, mark the point.
• For $(-1,-1)$: Move 1 left on x-axis, 1 down on y-axis, mark the point.
• For $(0,1)$: Stay at x=0, move 1 up on y-axis, mark the point.
• For $(1,3)$: Move 1 right on x-axis, 3 up on y-axis, mark the point.
• For $(2,5)$: Move 2 right on x-axis, 5 up on y-axis, mark the point.

Step3: Connect the plotted points

Draw a straight line through all 5 points (since this is a linear function).

Answer:

The function is graphed by plotting the points $(-2,-3)$, $(-1,-1)$, $(0,1)$, $(1,3)$, $(2,5)$ and connecting them with a straight line on the coordinate plane.