Question

Can you please tell me how to solve this question!!

A graph of quadratic function y = f(x) is shown below. (pic 1)
What is the solution set of the quadratic inequality f(x) ≥ 0? (answers are on pic 2)

Answer 1

A.

Explanation:

Just took it. Edg 2020. Hope this helps :)

Answer 2

Option A

Explanation:

We have to tell by looking at the graph that for which values of x is the graph f(x) equal to or greater than 0 along y-axis.

The given graph is a parabola, opening upwards and having a vertex at (-3, 0). For a vertical parabola opening upwards, the vertex is the minimum point. This can also be visualized from the graph. All the other values on the graph are above the vertex.

So, the lowest point along y-axis is 0 and the graph occupies all the values greater than zero.

This means that no matter which values of x we use, the value of f(x) will either be zero or greater than 0.

So f(x) ≥ 0 is true for all the values i.e for set of All Real numbers.

From the given options, option A represents this. So option A is our answer.