Question

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

A graph of quadratic function y = f(x) is shown below. (look at the picture)
What is the solution set of the quadratic inequality f(x) ≥ 0?

Answer 1

check the picture below.

keep in mind that the yellow shaded area is the "true" region, namely where f(x) ⩾ 0, and the values "x" takes on are pretty much all real values.

Answer 2

The solution set of the inequality f(x) ≥ 0 is:

All the real values i.e. whole of the real line or x∈R

Explanation:

By looking at the graph of the function f(x) we observe that the function is a parabolic function such that it takes all the positive values since the graph lie above the x-axis.

This means that the value of the function is: f(x) ≥ 0 for all x

And also we know that a quadratic function is defined all over the real axis.

Hence, the solution to the inequality:

Whole real line i.e. x ∈ R