Question

A curve is graphed on a coordinate plane. The plane’s x and y axes range from negative 4 to 4 in unit increments, but labeled every 2 units.
How many real solutions correspond to x-intercepts based on the graph?

(1 point)
Responses

1
1

2
2

0
0

3
3
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Answer 1

To determine the number of real solutions corresponding to x-intercepts based on the graph, you need to look at how many times the curve crosses the x-axis. Each crossing point represents an x-intercept (a solution to the equation \( f(x) = 0 \)).

- If the curve touches the x-axis without crossing (i.e., it merely "bounces" off), that indicates a double root, but it does not count as an intercept for the purpose of counting x-intercepts.
- If it crosses the x-axis at distinct points, each crossing represents a single real solution.

Without seeing the actual graph, I cannot provide a specific count. You would need to analyze the graph for the intersections with the x-axis. However, if you provide information on how many times the curve intersects the x-axis, I can help you choose the correct response based on that.

In summary:

- If the curve crosses the x-axis 1 time, select "1."
- If the curve crosses the x-axis 2 times, select "2."
- If the curve does not cross the x-axis, select "0."
- If the curve crosses the x-axis 3 times, select "3."

Please refer to your graph to count the intersections correctly.