Graph and Function

background image

Complete the left half of the graph, if the function shown is even.

y

5

4

y

5

a.

3

4

2

b.

3

1

2

1

2

4

S

2

3

-2

4

-5

-5

2. Complete the left half of the graph, if the function shown is odd.

y

y

5

5

a.

4

4

b.

3

3

2

2

1

-5

1

2

-2

-3

3

4

-4

-5

-5

3. Are the following functions odd, even, or neither? How can you tell? Prove algebraically your answer is correct.

a. f(x)=-x2 +5

b.

s(x)=517

C.

5(x)=x2+5

even

(-x) + 5 - x )

even

Sx2

f(x)=-x3-su

d. f(x)=-x'+x+5

e. f(x) = x ' + 5 x 2

S(x)=(-x)'+sto)4

x3+sx2

neither

17

neither.