Question

Instructions: In the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in order from left to right on the graph, or least to greatest. If the function has only one solution, type the solution in both of the boxes. If there are no real solutions type “none” in both boxes.

Answer 1

The quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0

Solutions of a quadratic function

From the question, we are to determine the number of real solutions the quadratic function has.

NOTE:

• If the graph of the quadratic function crosses the x-axis at two points then we have two solutions.

• If the graph touches the x-axis at one point then we have one solution.

• If the graph does not intersect with the x-axis then the equation has no real solution.

From the given diagram, the graph of the quadratic function crosses the x-axis at two distinct points.

∴ The quadratic function has two real solutions

The solutions of a quadratic function are the points where the graph intersects with the x-axis.

In the given graph, the solutions to the function are x = -2 and x = 0

Hence, the quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0.

Learn more on Determining the solutions of a quadratic function here: brainly.com/question/2388280

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