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Math Problems
Algebra 2
Even and odd functions
Determine whether the function
f
(
x
)
=
−
9
x
5
−
x
f(x)=-9 x^{5}-x
f
(
x
)
=
−
9
x
5
−
x
is even, odd or neither.
\newline
even
\newline
odd
\newline
neither
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Determine whether the function
f
(
x
)
=
2
x
−
x
5
f(x)=2 x-x^{5}
f
(
x
)
=
2
x
−
x
5
is even, odd or neither.
\newline
neither
\newline
even
\newline
odd
Get tutor help
Determine whether the function
f
(
x
)
=
−
5
x
4
−
1
−
5
x
6
f(x)=-5 x^{4}-1-5 x^{6}
f
(
x
)
=
−
5
x
4
−
1
−
5
x
6
is even, odd or neither.
\newline
odd
\newline
neither
\newline
even
Get tutor help
Determine whether the function
f
(
x
)
=
x
3
−
5
x
−
9
x
5
f(x)=x^{3}-5 x-9 x^{5}
f
(
x
)
=
x
3
−
5
x
−
9
x
5
is even, odd or neither.
\newline
neither
\newline
even
\newline
odd
Get tutor help
Determine whether the function
f
(
x
)
=
7
x
3
+
3
x
4
+
4
x
f(x)=7 x^{3}+3 x^{4}+4 x
f
(
x
)
=
7
x
3
+
3
x
4
+
4
x
is even, odd or neither.
\newline
neither
\newline
odd
\newline
even
Get tutor help
Determine whether the function
f
(
x
)
=
x
3
+
3
f(x)=x^{3}+3
f
(
x
)
=
x
3
+
3
is even, odd or neither.
\newline
even
\newline
odd
\newline
neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
3
x
2
+
2
f(x)=\frac{3}{x^{2}+2}
f
(
x
)
=
x
2
+
2
3
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
4
x
+
2
f(x)=4x+2
f
(
x
)
=
4
x
+
2
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
2
(
x
+
3
)
f(x)=2^{(x+3)}
f
(
x
)
=
2
(
x
+
3
)
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Find the values of
x
x
x
and
y
y
y
in the following scalar multiplication.
\newline
−
1
3
⋅
[
x
−
9
]
=
[
2
y
]
x
=
□
y
=
□
\begin{array}{l} -\frac{1}{3} \cdot\left[\begin{array}{c} x \\ -9 \end{array}\right]=\left[\begin{array}{l} 2 \\ y \end{array}\right] \\ x=\square \\ y=\square \end{array}
−
3
1
⋅
[
x
−
9
]
=
[
2
y
]
x
=
□
y
=
□
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
x
4
−
2
x
2
f(x)=x^{4}-2 x^{2}
f
(
x
)
=
x
4
−
2
x
2
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
x
3
−
4
x
f(x)=x^{3}-4 x
f
(
x
)
=
x
3
−
4
x
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
x
x
2
+
1
f(x)=\frac{x}{x^{2}+1}
f
(
x
)
=
x
2
+
1
x
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
2
∣
x
∣
−
5
f(x)=2|x|-5
f
(
x
)
=
2∣
x
∣
−
5
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
1
4
−
x
2
f(x)=\frac{1}{4-x^{2}}
f
(
x
)
=
4
−
x
2
1
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
3
x
2
+
2
f(x)=\frac{3}{x^{2}+2}
f
(
x
)
=
x
2
+
2
3
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Find the missing factor
C
C
C
that makes the equality true.
\newline
12
x
5
=
(
4
x
2
)
(
C
)
C
=
□
\begin{array}{l} 12 x^{5}=\left(4 x^{2}\right)(C) \\ C=\square \end{array}
12
x
5
=
(
4
x
2
)
(
C
)
C
=
□
Get tutor help
The functions
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
are differentiable.
\newline
The function
h
(
x
)
h(x)
h
(
x
)
is defined as:
h
(
x
)
=
f
(
x
)
g
(
x
)
h(x)= \frac{f(x)}{g(x)}
h
(
x
)
=
g
(
x
)
f
(
x
)
\newline
If
f
(
−
1
)
=
6
f(-1)= 6
f
(
−
1
)
=
6
,
f
′
(
−
1
)
=
−
3
f'(-1)= -3
f
′
(
−
1
)
=
−
3
,
g
(
−
1
)
=
2
g(-1)= 2
g
(
−
1
)
=
2
, and
g
′
(
−
1
)
=
5
g'(-1)= 5
g
′
(
−
1
)
=
5
, what is
h
′
(
−
1
)
h'(-1)
h
′
(
−
1
)
?
\newline
Simplify any fractions.
\newline
h
′
(
−
1
)
=
h'(-1)=
h
′
(
−
1
)
=
_____
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The functions
m
(
x
)
m(x)
m
(
x
)
and
n
(
x
)
n(x)
n
(
x
)
are differentiable.
\newline
The function
o
(
x
)
o(x)
o
(
x
)
is defined as:
o
(
x
)
=
m
(
x
)
n
(
x
)
o(x)= \frac{m(x)}{n(x)}
o
(
x
)
=
n
(
x
)
m
(
x
)
\newline
If
m
(
0
)
=
1
m(0)= 1
m
(
0
)
=
1
,
m
′
(
0
)
=
4
m'(0)= 4
m
′
(
0
)
=
4
,
n
(
0
)
=
3
n(0)= 3
n
(
0
)
=
3
, and
n
′
(
0
)
=
−
2
n'(0)= -2
n
′
(
0
)
=
−
2
, what is
o
′
(
0
)
o'(0)
o
′
(
0
)
?
\newline
Simplify any fractions.
\newline
o
′
(
0
)
=
o'(0)=
o
′
(
0
)
=
_____
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The functions
p
(
x
)
p(x)
p
(
x
)
and
q
(
x
)
q(x)
q
(
x
)
are differentiable.
\newline
The function
r
(
x
)
r(x)
r
(
x
)
is defined as:
r
(
x
)
=
p
(
x
)
q
(
x
)
r(x)= \frac{p(x)}{q(x)}
r
(
x
)
=
q
(
x
)
p
(
x
)
\newline
If
p
(
3
)
=
2
p(3)= 2
p
(
3
)
=
2
,
p
′
(
3
)
=
−
1
p'(3)= -1
p
′
(
3
)
=
−
1
,
q
(
3
)
=
4
q(3)= 4
q
(
3
)
=
4
, and
q
′
(
3
)
=
2
q'(3)= 2
q
′
(
3
)
=
2
, what is
r
′
(
3
)
r'(3)
r
′
(
3
)
?
\newline
Simplify any fractions.
\newline
r
′
(
3
)
=
r'(3)=
r
′
(
3
)
=
_____
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Is the function
q
(
x
)
=
x
6
−
9
q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
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