Find the domain range and period for cosecant and secant functions

The video tutorial explores the concepts of unbounded graphs, focusing on the range and domain of sine, cosine, cosecant, and secant functions. It explains how these functions are graphed, their intervals, and the occurrence of asymptotes. The tutorial also covers the period and amplitude of these graphs, emphasizing the lack of maximum and minimum values. The session concludes with a brief introduction to an activity involving functions.

What is the range of the reciprocal of sine and cosine graphs?

• Between -2 and 2

• From 0 to 1

• From negative infinity to -1 and from 1 to infinity

• Between -1 and 1

Where do asymptotes occur for the cosecant function?

• At every 2π interval

• Where sine equals zero

• At every π interval

• Where cosine equals zero

How can the domain of the cosecant function be described?

• All real numbers except multiples of π

• All real numbers except multiples of 2π

• All real numbers except multiples of π/2

• All real numbers except multiples of 3π

What is the first point where cosine crosses zero in the positive direction?

• At π

• At π/2

• At 3π/2

• At 2π

How is the domain of the secant function defined?

• All real numbers except 3π/2 plus multiples of π

• All real numbers except 2π plus multiples of π

• All real numbers except π plus multiples of π

• All real numbers except π/2 plus multiples of π

What is the period of the cosine graph?

• π

• 2π

• 3π

• 4π

Why is there no amplitude for the secant and cosecant graphs?

• Because they have a maximum and minimum

• Because they are unbounded

• Because they are periodic

• Because they are bounded