Question

4.

domain:
range:
5.

domain:
range:

Explanation:

Problem 4:

Step1: Identify coordinates from graph

Looking at the first graph (for problem 4), the points are at:

• Let's assume each grid square is 1 unit. So the coordinates (x, y) are: (-8, 2), (-4, 0), (2, -2), (4, -4), (8, 2)? Wait, no, let's check the positions. Wait, the leftmost point: x=-8, y=2; then x=-4, y=0; x=2, y=-2; x=4, y=-4? Wait no, maybe I misread. Wait the graph has points: let's see the x and y axes. Wait the first graph (top right) has points:
• One at x=-8, y=2 (left side)
• One at x=-4, y=0 (left of y-axis, on x-axis)
• One at x=2, y=-2 (right of y-axis, below x-axis)
• One at x=4, y=-4 (right of y-axis, below x-axis)? Wait no, maybe the points are: (-8, 2), (-4, 0), (2, -2), (4, -4), (8, 2)? Wait no, the rightmost point is at x=8? Wait the grid: let's count the x-coordinates. From the origin (0,0), moving left: -8, -4; moving right: 2, 4, 8? Wait the points:
• Leftmost: x=-8, y=2
• Then x=-4, y=0
• Then x=2, y=-2? No, wait the point on the x-axis is at x=-4, y=0. Then the point below y-axis: x=2, y=-2? Wait no, the graph has five points? Wait the table has 5 rows. Let's list the coordinates:

1. (-8, 2)
2. (-4, 0)
3. (2, -2)
4. (4, -4)
5. (8, 2) Wait, no, the rightmost point is at x=8? Wait the grid: each square is 1 unit. So:

• First point: x=-8, y=2 (left side, y=2)
• Second point: x=-4, y=0 (left of y-axis, on x-axis)
• Third point: x=2, y=-2? No, wait the point below y-axis: x=2, y=-2? Wait no, the point at x=2, y=-2? Wait the graph: let's check the y-axis. The top points: y=2 (both left and right), then y=0 (left of y-axis), y=-2 (right of y-axis, below), y=-4 (right of y-axis, below). Wait maybe the coordinates are:

(-8, 2), (-4, 0), (2, -2), (4, -4), (8, 2). Wait no, the rightmost point is at x=8, y=2? Wait the graph shows a point at x=8, y=2? Wait the original graph: let's see the top right graph for problem 4:

• Left point: x=-8, y=2
• Middle left: x=-4, y=0
• Middle right: x=2, y=-2? No, wait the point at x=2, y=-2? Wait no, the point below y-axis: x=2, y=-2? Wait the table has 5 rows, so 5 points. Let's list them:

1. x=-8, y=2
2. x=-4, y=0
3. x=2, y=-2
4. x=4, y=-4
5. x=8, y=2

Step2: Fill the table

So the table for problem 4:

x	y
-4	0
2	-2
4	-4
8	2

Step3: Find Domain and Range

Domain is the set of all x-values: {-8, -4, 2, 4, 8}
Range is the set of all y-values: {2, 0, -2, -4} Wait, no: y-values are 2, 0, -2, -4, 2. So unique y-values: {-4, -2, 0, 2}

Step1: Identify coordinates from graph

Looking at the second graph (for problem 5), the points are at:

• Let's count the grid squares. The points are:
• x=-8, y=0 (on x-axis, left)
• x=-4, y=4 (left of y-axis, above x-axis)
• x=-2, y=-4 (left of y-axis, below x-axis)
• x=4, y=-2 (right of y-axis, below x-axis)
• x=8, y=2 (right of y-axis, above x-axis) Wait, no, let's check the positions:
• Point on x-axis: x=-8, y=0
• Point above x-axis, left of y-axis: x=-4, y=4
• Point below x-axis, left of y-axis: x=-2, y=-4
• Point below x-axis, right of y-axis: x=4, y=-2
• Point above x-axis, right of y-axis: x=8, y=2

Step2: Fill the table

So the table for problem 5:

x	y
-4	4
-2	-4
4	-2
8	2

Step3: Find Domain and Range

Domain is the set of all x-values: {-8, -4, -2, 4, 8}
Range is the set of all y-values: {0, 4, -4, -2, 2} (unique values: {-4, -2, 0, 2, 4})

Answer:

(Problem 4):
Table:

x	y
-4	0
2	-2
4	-4
8	2

Domain: {-8, -4, 2, 4, 8}
Range: {-4, -2, 0, 2}

Problem 5: