Chapter 8

Question 1

What is the function model of Direct Variation?

Answer 1

y=kx

Question 2

What is the function model of Inverse Variation?

Answer 2

y=k/x

Question 3

How do you determine if table is direct variation, inverse variation or neither?

Answer 3

Direct Variation - when x grows, y also grows; xy = same k for every row of table

Inverse Variation - when x grows, y shrinks; y/x = same k for every row of table

Neither - xy ≠ same k and y/x ≠ same k for every row

Question 4

What is combined variation?

Answer 4

One variable ir varied with 2+ more variables

Question 5

What is the general for of the reciprocal function?

Answer 5

y = a/(x-h) + k; x ≠ h

Question 6

How do you find points of discontinuity?

Answer 6

Factor the demonimator and whatever is (x-z) z is the point of discontinuity

Question 7

How do you find holes?

Answer 7

If both the numerator and denominator have a common number(x+3/x+3) the hole is at that number

Question 8

How do you find vertical asymptotes?

Answer 8

The vertical asymptotes are the lines of discontinuity

Question 9

How do you find the horizontal asymptote?

Answer 9

If degree of numerator > degree of denominator, horizontal asymptote is y = 0

If degree of denominator > degree of numerator, there is no horizontal asymptote

If degree of numerator = degree of denominator, asymptote is number multiplying to x on numerator.