Hyperbolic Functions

Question 1

What is the general for the hyperbola?

Answer 1

y=a/x-p +q

Question 2

What are the two asymptotes?

Answer 2

Vertical asymptote (x=p)
Horizontal asymptote (y=q)

Question 3

What is the domain and range for hyperbolic functions?

Answer 3

Domain=(-8;8) x cannot equal 0

Range=(-8;8) y cannot equal q

Question 4

How do we determine the equation of a parabola?(2)

Answer 4

• Q and P values determined

- Then substitute another point on the hyperbola to get the value of a

Question 5

If a is positive:
As a gets large it gets _____ from the asymptotes
As a gets smaller it gets ______” “

Answer 5

Further

Closer

Question 6

If a is negative:
As a gets bigger it gets _______ to the asymptotes
As a gets bigger it gets __________ “ “

Answer 6

Closer

Further

Question 7

If p is positive shift will be _____.
If p is negative shift will be _______.
_______ asymptotes will shift.

Answer 7

Left
Right
Vertical

Question 8

If q is positive shift will be _____.
If q is negative shift will be ______.
______ asymptotes shift.

Answer 8

Up
Down
Horizontal

Question 9

What this the domain and range if p and q = 0?

Answer 9

Domain: x is an element of the reals ; x cannot equal 0
Range: y is an element of the reals ; y cannot equal 0