Question

select the correct answer.

which function family does the graphed function belong to?

exponential
polynomial
radical
rational

Explanation:

Analyze the shape and features of the graphed function

The graph shows a U-shaped curve opening upwards with a single minimum point (vertex). This shape is a parabola, which represents a quadratic function.

Classify the function family

Quadratic functions are a specific type of polynomial functions (specifically, degree 2). Among the given options (exponential, polynomial, radical, rational), the quadratic function belongs to the polynomial family.

Answer:

• exponential
• polynomial (Correct answer)
• radical
• rational