Question

whats the real root? (associated with a function graph)
the function has one irrational root
the function has two irrational roots
the function has two complex roots
the function has one complex root

Explanation:

Step1: Analyze the graph

The graph crosses the x-axis at two distinct points that are not integer values, meaning the real roots are not rational.

Step2: Evaluate root options

A cubic function (from the shape of the graph) has 3 roots. Since it crosses the x-axis twice, we know there are two real irrational roots, and the third root must also be real (complex roots come in conjugate pairs, so we can't have just one complex root, and two complex roots would leave only one real root which contradicts the graph). Thus the only valid option is two irrational roots.

Answer:

The function has two irrational roots