Question

Give an example of an odd function and explain algebraically why it is odd

Answer 1

\[f(x)=x ^{3}\]
by definition, function is odd if f(-x)=-f(x)
so check for the function i geave you as example:
\[f(-x)=-x ^{3}=-f(x)\]

Answer 2

i don't really understand

Answer 3

like you can see it's symetric respect to origin. This another "symptom" of odd function

Answer 4

A function f(x) is said to be odd if
\[f(-x)=-f(x)\]
or
\[f(x)+f(-x)=0\]
suppose we have \(f(x)=x^3\) and so \(f(-x)=(-x)^3=-x^3\)
now let' see what's \(f(x)+f(-x)\)
\[f(x)+f(-x)=x^3+(-x^3)=0\]
Hence f(x)= x^3 is an odd function

Answer 5

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Answer 6

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Answer 7

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F

He

S

Answer 8

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Answer 9

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Answer 10

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Answer 11

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Answer 12

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Volume
Density

Answer 13

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Volume
Density

Answer 14

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Answer 15

Which of the following are not polynomials?
A.2/3x^-2+x+1
B.x^3+0x^2+2x+sqrt2
C.x^2/5+sqrt3x+1
D.2/x^3+x+1/2
E. x^-2+x+1

Answer 16

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Answer 17

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Answer 18

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Now she is showing signs of anorexia.

Answer 19

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What cell parts are common to all of these cells?

Answer 20

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Answer 21

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Answer 22

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Answer 23

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Answer 24

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