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PC: Unit 3A Day 1 Activity

Total questions: 38

Worksheet time: 34mins

Name
Class
Date
1.

1. A portion of the graph of the periodic function g is shown above.  What is the least possible value of the period of g?




(a)  

2.

a. Using the graph above, find g(9).

(a)  

3.

Using the graph above, find g(-12).

(a)  

4.

Using the graph above, find g(29).

(a)  

5.

A portion of the graph of the periodic function h is shown above. What is the least possible value of the period of h?

(a)  

6.

Using the graph of h above, find h(13).

(a)  

7.

Using the graph of h above, find h(-12).

(a)  

8.

Using the graph of h above, find h(82).

(a)  

9.

A portion of the graph is shown above. What is the least possible value of the period of f? (type the word pi for Π)

(a)  

10.

Using the graph of f above, find the value for f(10π).

(a)  

11.

Using the graph of f above, find the value for f(-5π).

(a)  

12.

Using the graph of f above, find the value for f(9π/2).

(a)  

13.

Two complete cycles of the periodic function k are shown above. What is the period of k (type pi for π when necessary).

(a)  

14.

Using the graph of h above, find the k(3π)

(a)  

15.

Using the graph of k above, find the value for k(5π/4).

(a)  

16.

Using the graph of k above, find the value for k(-5π/2).

(a)  

17.

The graph of f is periodic with a period of 7. Values of f are shown at the selected values of x. Find f(8).

(a)  

18.

The graph of f is periodic with a period of 7. Values of f are shown at the selected values of x. Find f(-6).

(a)  

19.

The graph of f is periodic with a period of 7. Values of f are shown at the selected values of x. Find f(f(10)).

(a)  

20.

The graph of f is periodic with a period of 7. Values of f are shown at the selected values of x. Find f(7k+4).

(a)  

21.

The graph of g is periodic where g(x+10)=g(x). Values of g are shown at the selected values of x. Find g(27)

(a)  

22.

selected values of x. Find g(-7)

(a)  

23.

selected values of x. Find g(g(10))

(a)  

24.

selected values of x. Find g(10k-3)

(a)  

25.

Is the function increasing, decreasing, or both on the interval 52<x<56?

a)

increasing

b)

decreasing

c)

both

26.

Is the function concave up, concave down, or both?

a)

concave up

b)

concave down

c)

both

27.

Is there a relative max, relative min, or neither at the point x =44?

a)

relative max

b)

relative min

c)

neither

28.

Is the function increasing, decreasing, or both on the interval 25<x<27?

a)

increasing

b)

decreasing

c)

both

29.

Is the function concave up, concave down, or both on the interval 34<x<36?

a)

concave up

b)

concave down

c)

both

30.

Is there a relative max, relative min, or neither at the point x =47?

a)

relative max

b)

relative min

c)

neither

31.

Is the function increasing, decreasing, or both on the interval 22<x<23?

a)

increasing

b)

decreasing

c)

both

32.

Is there a relative max, relative min, or neither at the point x=30?

a)

relative max

b)

relative min

c)

neither

33.

Using the graph given to you on your worksheet for 11(A) and the picture above, type the coordinates for F

(a)  

34.

Using the graph given to you on your worksheet for 11(A) and the picture above, type the coordinates for G

(a)  

35.

Using the graph given to you on your worksheet for 11(A) and the picture above, type the coordinates for J

(a)  

36.

Using the graph given to you on your worksheet for 11(A) and the picture above, type the coordinates for K

(a)  

37.

Using the graph given to you on your worksheet for 11(A) and the picture above, type the coordinates for P

(a)  

38.

Referring to the graph above for question 11A, the t-coordinate of J is t1 and the t-coordinate of K is t2 . On the interval (t1, t2), which of the following is true about d?

a)

d is a positive and increasing

b)

d is positive and decreasing

c)

d is negative and increasing

d)

d is negative and increasing