Question

2 select the correct answer. which statement is true about the tangent function? a. the tangent function has a period but no amplitude and no midline. b. the tangent function has an amplitude and midline but no period. c. the tangent function has a midline but no period and no amplitude. d. the tangent function has a midline and period but no amplitude.

Explanation:

The tangent function \(y = \tan(x)\) has a period of \(\pi\). It does not have a well - defined amplitude because its values range from \(-\infty\) to \(\infty\). Also, it does not have a mid - line in the traditional sense like sine and cosine functions. Sine and cosine have mid - lines due to their bounded nature, but tangent is unbounded and does not oscillate between fixed upper and lower limits around a central horizontal line.

Answer:

A. The tangent function has a period but no amplitude and no midline.