1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alukav5142 [94]
3 years ago
11

Select ALL the correct answers. Which of the following functions are odd? PLEASE HELP!!!! ASAP

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
5 0
Odd functions are those that satisfy the condition
f(-x)=-f(x)
For example, check if x^3 is odd =>
f(x)=x^3
f(-x) = (-x)^3
-f(x)=-x^3
Since (-x)^3=-x^3, we see that f(x)=x^3 is an odd function.
In fact, polynomials which contain odd-powered terms only are odd.  (constant is even)
As an exercise, you can verify that sin(x) is odd, cos(x) is even.

On graphs, odd functions are those that resemble a 180 degree rotation.
Check with graphs of above examples.

So we identify the first graph (f(x)=-x^3) is odd (we can identify a 180 degree rotation)

Odd functions have a property that the sum of individually odd functions is 
also odd.   For example, x+x^3-6x^5 is odd, so is x+sin(x).

For the next graph, f(x)=|x+2| is not odd (nor even) because if we rotate one part of the graph, it does not coincide with another part of the graph, so it is not odd.

For the last graph, f(x)=3cos(x), it is not odd, again because if we rotate about the origin by 180 degrees, we get a different graph.  However, it is an even function because it is symmetrical about the y-axis.

Oksana_A [137]3 years ago
3 0

Answer: the right answers are

f(x)=-x^(3)-x

the first graph

a function composed of the sum of two odd functions


Step-by-step explanation:


Download docx
You might be interested in
Is this equation linear: 2x+5xy-3=0
Lina20 [59]

What is linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

2x + 5xy - 3 = 0

x (2 + 5y) -3 = 0

x ( 2 + 5y ) = 3

2 + 5y = 3 / x

5y = (3/x) - 2

y = ( (3/x) - 2) / 5

According to the graph i don't think it's a linear equation.

3 0
3 years ago
2x+5=12 pleas and thank you :D
Alik [6]
2x+5=12
12-5=2x
2x=7
X=3.5
3 0
2 years ago
Read 2 more answers
Multiply and simplify
emmasim [6.3K]

Answer:

B

Step-by-step explanation:

It's easy:

\frac{4}{16}* \frac{y^5}{y^2}

\frac{y^3}{4}

So, the answer is B.

8 0
3 years ago
the length of a rectangle with area 54 square centimeters is 9 centimeters. what is the perimeter of the rectangle, in centimete
MaRussiya [10]

Answer:

30 cm

Step-by-step explanation:

To find the perimeter of the rectangle, you first need to find the width and length of the rectangle:

54/9 = 6

L = 9

W = 6

The perimeter is 2lw:

The answer is 30 cm

5 0
2 years ago
Read 2 more answers
Do ratios 15:5 and 6:2 form a proportion?
mrs_skeptik [129]

For two ratios to form a proportion they have to be equal.

To see if two ratios are equal we express them in their simplest form.

In this case we notice that in the first ratio both numbers are multiples of five, then:

15\colon5=3\colon1

In the second case we notice that both numbers are multiples of 2, then:

6\colon2=3\colon1

Since both ratios can be simplified to the same final ratio, they form a proportion.

7 0
1 year ago
Other questions:
  • A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif
    5·1 answer
  • Rate of change of y = –4.5x + 15
    6·1 answer
  • 2. What is the difference between a coefficient and a<br> constant?
    6·1 answer
  • Convert 638.9569046 hours to minutes
    11·1 answer
  • Which value is equivalent to sin 42?
    8·1 answer
  • Given m<br> n, find the value of x and y.<br> (37-18)<br> (8x+12)<br> m<br> (2X+18)<br> n
    11·1 answer
  • Helppp<br> No links plzzz I’m way behind in classs
    14·2 answers
  • Need Help ASAP <br><br> How many weeks will it take to save $150 if I save $2.50 per week?
    14·2 answers
  • 12. Find three consecutive even integers such that
    15·1 answer
  • A. The slope is 55, representing the trip fee.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!