Functions Of All Types: Trig

1. Compare the functions below: 

(See Attachment titled "Number One Functions".)

Which function has the greatest y-intercept?

Answer Choices:

A) f(x)

B) g(x)

C) h(x)

D) All three functions have the same y-intercept. 

2. Compare the functions below:

(See Attachment titled "Number Two Functions".) 

What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = -1 to x = 3?

Answer Choices:

A) f(x), g(x), h(x)

B) g(x), f(x), h(x)

C) h(x), g(x), f(x)

D) g(x), h(x), f(x)

3. Compare the functions below:

(See Attachment titled "Number Three Functions".) 

Which function has the most x-intercepts?

Answer Choices:

A) f(x)

B) g(x) 

C) h(x)

D) All three functions have the same number of x-intercepts. 

4. Compare the functions below:

(See Attachment titled "Number Four Functions".)

Which function has the greatest maximum y-value?

Answer Choices:

A) f(x)

B) g(x)

C) h(x) 

D) All three functions have the same maximum y-value.

5. Compare the functions below:

(See Attachment titled "Number Five Functions".)

Which function has the smallest minimum y-value? 

Answer Choices:

A) f(x)

B) g(x)

C) h(x) 

D) Both f(x) and g(x) have the same minimum y-value.