FINDING FUNCTION VALUES FROM THE GRAPH OF EPRIODIC FUNCTIONS WORKSHEET

Problem 1 :

The graph has the period of 7. Find the value of 

a) f(6)     b)  f(20)

Solution

Problem 2 :

The function shown is periodic

a) Find the period of the function

b) Find f(4), f(5), f(8) and f(13)

c) Find the amplitude of the function.

Solution

Problem 3 :

A periodic function f has a period of 12. If f(7) = -2 and f(11) = 9, determine the value of 

i) f(43)     ii) f(79)     iii) f(95)     iv) f(-1)

Solution

Problem 4 :

For a periodic function f(x) with period p, f(x + p) = f(x), and f(x + np) = f(x), where n is any integer. Consider the periodic function shown. 

(a) What is the period of the function?

(b) Determine f(2) and f(5)

c) Predict f(8) and f(-10)

d) What is the amplitude of the function ?

e) Determine four x-values such that f(x) = 2.

Solution