### Present Remotely

Send the link below via email or IM

Present to your audience

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation
• A maximum of 30 users can follow your presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# The 12 Mother Functions

No description
by

## kylie hays

on 23 October 2012

Report abuse

#### Transcript of The 12 Mother Functions

The 12 Mother Functions Y=X
D: (-∞,∞)
R: (-∞, ∞)
continuous
Odd
No HA, No VA
Not Bounded Identity Function(linear) Y=sin(X)
D: (-∞,∞)
R:(-1,1)
Continuous
Odd
No VA, No HA
Not Bounded Sine Function Y=1/1+e^-x
d:(-∞,∞)
R: (0,1)
continuous
No symmetry
HA: Y=0, Y=1
VA: none
Bounded Logistic Function Y=e^x
D: (-∞,∞)
R: (0,∞)
continuous
No symmetry
HA: Y=0
VA: none
Bounded below Exponential Function Y=cos(X)
D: (-∞,∞)
R: [-1,1]
continuous
Even
NO HA, No VA
Bounded Cosine Function Y=X^3
D: (-∞,∞)
R: (-∞, ∞)
continuous
Odd
No HA, No VA
Not Bounded Cubing Function (Cubic) Y=1/X
D: (-∞,0);(0,∞)
R: (-∞,0);(0,∞)
discontinuous X=0
Odd
VA: X=0
HA: Y=0
Bounded inbetween Reciprocal Function Y=X^2
D: (-∞,∞)
R: [0, ∞)
continuous
Even
No HA, No VA
Bounded Below Squaring Function(Quadratic) Y=lnX
D: (0,∞)
R: (-∞, ∞)
continuous
No Symmetry
No HA,
VA: X=0
Not Bounded Natural Log Function Y=int(X)
D: (-∞,∞)
R: all integers
Jump discontinuity
No Symmetry
No HA, No VA
Not Bounded Greatest Integer Function Y=|X|
D: (-∞,∞)
R: [0, ∞)
continuous
Even
No HA, No VA
Bounded Below Absolute Value Y=√X
D: [0,∞)
R: [0, ∞)
continuous
No Symmetry
No HA, No VA
Bounded Below Square Root Function
Full transcript