ODD OR EVEN FUNCTION FROM TABLE AND GRAPH WORKSHEET

Problem 1 :

Which function is an even function?

a. y = h(x) = √x            b. y = p(x) = x³

c. y = R(x) = 1/x           d. y = |x|

Solution

Problem 2 :

Examine these functions. Which statement is correct?

a. Graph I is the graph of an even function.

b. Graph II is symmetric to the x-axis.

c. Graph III is symmetric to the y-axis.

d. Graph IV is an odd function.

Solution

Problem 3 : 

Which function could be an even function?

a) A function known as d(x) where d(3) = 10 and d (-3) = -10

b) A function known as k(x) where k(7) = 20 and k(-7) = 20

c) A function known as M(x) where M(4) = 10 and M (-4) = 0

d) A function known as C(x) where C(7) = - 6 and C(-7) = 6

Solution

Problem 4 :

Start with the incomplete graph of p(x) as shown. Complete the graph if p(x) is symmetric to the origin

Solution

Problem 5 :

Start with the incomplete graph of f(x) as shown. Complete the graph if f(x) is symmetric to the y-axis.

Solution

Problem 6 :

If g(x) is an odd function and g(5) = -7, which one of the following must be true?

a. g(-5) = 7      b. g(-5) = -7     c. g(-7) = 5     d. g(7) = - 5

Solution

Problem 8 :

Which function is not even (symmetric to the y-axis)?

a. y = -4 x² + 3        b. y = 2 |x| - 6

c. y = x² +6x + 5           d. y = 6

Solution

Answer Key

1) option d

2)  option d

3)  option b

4)  

5)  

6) option a

7) option c