Math / Geometry

QuestionIdentify the intercepts. This question: 1 point(s) possible Submit test
Select the correct choice below and, if necessary, fill in the answer box to complate your choice. A. $x$ -intercept(s) $=$ $\square$ (Type an ordered pair. Use a comma to separate answers as needed.) B. There is no $x$ -intercept.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $y$ -intercept(s) $=$ $\square$ (Type an ordered pair. Use a comma to separate answers as needed.) B. There is no $y$ -intercept.

Studdy Solution

STEP 1

1. The graph is of an ellipse centered at the origin.
2. The ellipse intersects the x-axis and y-axis at specific points.

STEP 2

1. Identify the x-intercepts from the graph.
2. Identify the y-intercepts from the graph.

STEP 3

Identify the x-intercepts from the graph: - The x-intercepts occur where the ellipse crosses the x-axis. - From the image description, the ellipse intersects the x-axis at $(-4, 0)$ and $(4, 0)$ .

STEP 4

Identify the y-intercepts from the graph: - The y-intercepts occur where the ellipse crosses the y-axis. - From the image description, the ellipse intersects the y-axis at $(0, -3)$ and $(0, 3)$ .
The x-intercepts are: $(-4, 0)$ and $(4, 0)$ .
The y-intercepts are: $(0, -3)$ and $(0, 3)$ .

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