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.
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