h(x) = x^2 + sin(x)

Definition

The function h(x) combines a quadratic term (x^2) with a trigonometric term (sin(x)), resulting in a combination of polynomial and trigonometric behavior.

Analogy

Think of h(x) as an amusement park ride where you go up and down on hills while also experiencing twists and turns. The quadratic term represents the hills that make you go up and down smoothly, while the sinusoidal term adds unexpected twists and turns along the way.

Related terms

Quadratic Function: A polynomial function with degree two. In h(x), x^2 is the quadratic term.

Trigonometric Function: A mathematical function that relates angles to the ratios of sides in a right triangle. In h(x), sin(x) is the trigonometric term.

Periodicity: The property of a function that repeats its values at regular intervals. For h(x) = x^2 + sin(x), the sinusoidal term introduces periodic behavior, causing the function to repeat itself over specific intervals.