Math  /  Geometry

QuestionThe graph of an equation is given to the right. List the intercepts of the graph.
The intercept(s) of the graph is/are the point(s) \square . (Type an ordered pair. Use a comma to separate answers as needed.)

Studdy Solution

STEP 1

1. The intercepts of the graph are the points where the graph intersects the x-axis and the y-axis.
2. The x-intercepts are the points where the graph crosses the x-axis, meaning the y-coordinate is zero.
3. The y-intercepts are the points where the graph crosses the y-axis, meaning the x-coordinate is zero.
4. The intercepts should be listed as ordered pairs (x,y)(x, y).

STEP 2

1. Identify the x-intercepts from the graph.
2. Identify the y-intercepts from the graph.
3. List all identified intercepts as ordered pairs.

STEP 3

Identify the x-intercepts from the graph. The x-intercepts are the points where the curve intersects the x-axis.
From the graph, we see the curve intersects the x-axis at (1,0)(-1, 0) and (2,0)(2, 0).

STEP 4

Identify the y-intercepts from the graph. The y-intercepts are the points where the curve intersects the y-axis.
From the graph, we see the curve intersects the y-axis at (0,4)(0, 4) and (0,4)(0, -4).

STEP 5

List all identified intercepts as ordered pairs. Combining the x-intercepts and y-intercepts, we have:
(1,0),(2,0),(0,4),(0,4)(-1, 0), (2, 0), (0, 4), (0, -4)
Solution: The intercepts of the graph are the points (1,0),(2,0),(0,4),(0,4)(-1, 0), (2, 0), (0, 4), (0, -4).

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