IB AAHL Function Review

Define the term/unction and state a test for determining whether the graph of a relation is a function.

• A function is a relation in which more two different ordered pairs have the same x-coordinate.

• A function is a relation in which no two different ordered pairs have the same x-coordinate.

• A function is a relation in which only one ordered pairs have the same x-coordinate.

• A graph of a relation is a function if all possible vertical lines on the graph cut the relation no more than once.

• a). -3x+13

  b). 15

  c).1/6

• a). 3x+13

  b). 15

  c).1/6

• a). -3x+13

  b). 15

  c).-1/6

• a). -3x+13

  b). -15

  c).-1/6

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF.BF.B.3

• 
• 

Tags

CCSS.HSF-IF.C.7E

Consider the function f (x)= 2x2 +4x - 20.

a  State the equation of the axis of symmetry.

b  State the coordinates of the turning point.

c  Write the function in the form:

i y=a(x- h)2+k ii y=a(x- p)(x- q).

f(x)=ln(x-2).,State the domain and range o f f , and the equation o f the

asymptote .

• Domain= {x I x < 2}

  Range = {y I y >0}

  x = 2 is a vertical asymptote.

• Domain= {x I x > 2}

  Range = {y I y > R}

  y = 2 is a horizontal asymptote.

Tags

CCSS.HSF-IF.C.7E

• (-1,1)

• (-1,-1)

• (1,-1)

• (1,1)

Tags

CCSS.HSF-BF.B.4D

Tags

CCSS.HSA-REI.B.4B