What are the solutions of the graph shown below? Select ALL that apply.

Question

graph shows line going through (-3.5,0) and second line through (3,0) and a curve at (0,-15)

(2 points)
Responses

x=−15
x is equal to negative 15

x=2.5
x is equal to 2 point 5

x=−3
x is equal to negative 3

x=3
x is equal to 3

x=−2.5

Answer 1

To determine which options are solutions based on the description of the graph:

1. The graph has a line passing through (-3.5, 0) and another point (3, 0). This means that the x-intercepts of the lines are -3.5 and 3, which suggests these points are solutions (where the y value is zero).

2. The mention of a curve at (0, -15) indicates that at x = 0, the value of y is -15, which does not correspond to a solution for the x-axis (as it is not zero).

Now, let's evaluate the options based on this understanding:

• x = −15: This is not a solution, as it does not intersect the x-axis.
• x = 2.5: This does not correspond to any point on the lines as described, so it is not a solution.
• x = −3: This does not intersect the x-axis with the given points and is not indicated in the description as a solution.
• x = 3: This is a correct solution, as it is one of the x-intercepts (the line goes through this point).
• x = −2.5: This does not correspond to any point on the lines mentioned and is not indicated as a solution.

Based on the analysis, the only appropriate solution from the given options is:

• x = 3