Review

Question 1

The domain of y = sin x is the set of _________________.

Answer 1

Real numbers

Question 2

The range of y = sin x is ____________. The least value that the function F(x) = sin x may have is __.

Answer 2

-1 ≤ y ≤ 1; -1.

Question 3

The period (a complete cycle of revolution) is _______ units.

Answer 3

2π

Question 4

As x increases from 0 to π/2, y = sin x is an _____________ function.

Answer 4

increasing

Question 5

As x increases from 3π/2, y = sin x is a ______________ function.

Answer 5

decreasing

Question 6

y = cos x is always an increasing function. (True or false?) The maximum value of y = cos x is 1.

Answer 6

False; True

Question 7

The domain of y = cos x is the set of __________________.

Answer 7

real numbers

Question 8

The range of y = cos x is -1 ≤ x ≤ 1. (true or false?)

Answer 8

True

Question 9

The period (a complete cycle or revolution) occurs every __ units.

Answer 9

2π

Question 10

As x increases from -2π to -3π/2, y = cos x is a ___________ function.

Answer 10

decreasing

Question 11

The tangent graph starts to repeat itself at what interval?

Answer 11

π

Question 12

What are the values of the domain of tan x that are undefined?

Answer 12

(2n - 1)π/2, n = {integers}

Question 13

What is the range of tan x?

Answer 13

all real numbers -∞ < tan x < ∞

Question 14

If the number of degrees exceeds 360, (e.g 675), before turning it into radians, ___________ it first.

Answer 14

subtract

Question 15

If the answer is something like 4/3, turn it to ____________.

Answer 15

1 1/3.