Math 3 Unit 5 Rational Functions

Choose the function where y varies directly with the product of x and w and inversely with z².

A point of discontinuity occurs at a:

• vertical asymptote only

• hole only

• horizontal asymptote only

• vertical asymptote or hole

Tags

CCSS.HSF-IF.C.7D

A point of discontinuity is found by finding the value of _____ that makes the denominator equal to ______.

• x and zero

• y and zero

• x and one

• x and undefined

Tags

CCSS.HSF-IF.C.7D

4) Determine if values in the table represent a direct variation, inverse variation or neither. Find the value of k and write a function that models the variation. Direct or Inverse or Neither (circle) Function: ____y = 36/x________________

• The parent function is y = 1/x, reflection: yes, a value: 1, horizontal shift: right 4, vertical shift: none, horizontal asymptote: y = 0,

• The parent function is y = x, reflection: yes, a value: 2, horizontal shift: none, vertical shift: down, horizontal asymptote: y = 1

• The parent function is y = 1/x^2, reflection: no, a value: 1, horizontal shift: right, vertical shift: up, horizontal asymptote: y = 1

• The parent function is y = 1/x, reflection: yes, a value: -1, horizontal shift: right, vertical shift: none, horizontal asymptote: y = 0

Tags

CCSS.HSF.BF.B.3

Tags

CCSS.HSA.APR.D.6

• (x+1)/(x+2), restrictions: x ≠ 0, x ≠ -2

• (x+1)/(x+2), restrictions: x ≠ -1, x ≠ -2

• (x)/(x+2), restrictions: x ≠ 0, x ≠ -2

• (x+2)/(x+1), restrictions: x ≠ 0, x ≠ -1

Tags

CCSS.HSA.APR.D.6

• 1

• 10

• 0

• 5

Tags

CCSS.HSA.APR.D.7

• 3x(x+1)/x-5

• (3x³ - x²)/((x - 5)(x + 5))

• (3x² + 2x + 5)/(x² + 6x + 5)

• (3x³(x+1) - x²(x-5))/((x - 5)(x + 5)(x + 1))

Tags

CCSS.HSA.APR.D.7

Tags

CCSS.HSA.APR.D.7