Back to Explain symmetry and periodicity — Problem 2 · Task Set 70

Exercises: Symmetry and Periodicity of Trigonometric Functions

Grade 9·22 problems·~35 min·Common Core Math - HS Functions·group·hsf-tf-a-4

Work through problems with immediate feedback

Recall / Warm-Up

A function $f$ is called an even function if $f(-x) = f(x)$ for all $x$ in its domain. Which statement correctly describes an even function's graph?

The graph has rotational symmetry about the origin.

The graph is symmetric about the y-axis.

All output values are non-negative (the graph stays above the x-axis).

The graph is symmetric about the x-axis.