Functions Grade 11 Unit 1

f(x) = mx + b (What is the Parent?)

f(x) = x

f(x) = mx + b (Name of function?)

Linear

f(x) = mx + b (Special features?)

M = slope

B = y-int

+m --> up

-m --> dow

f(x) = mx + b (Domain?)

{xER}

f(x) = mx + b (range)

{yER}

f(x) = a(x-h)^2+k (What is the parent)

f(x) = x^2

f(x) = a(x-h)^2+k (Name of function?)

Quadratic

f(x) = a(x-h)^2+k (Special features?)

Vertex: (h,k)

A of S: X=h

-a opens down

f(x) = a(x-h)^2+k (Domain?)

{xER}

f(x) = a(x-h)^2+k (Range?)

{yER | y ≥ K} (when a is +)
{yER | y ≤ K} (when a is -)

f(x) = a√k(x-d) + c (what is the parent function)

f(x) = √x

f(x) = a√k(x-d) + c (What is the name of this function)

Square root function

f(x) = a√k(x-d) + c (Special symbols)

• Looks like one arm of a parabola

• -a opens down

f(x) = a√k(x-d) + c (domain?)

{xER | x ≥ d} (when k is +)
{xER | x ≤ d} (when k is -)

f(x) = a√k(x-d) + c (range?)

{yER | y ≥ c} (when a is +)
{yER | y ≤ c} (when a is -)

f(x) = a / (x-d) + c (parent?)

f(x) = 1/x

f(x) = x / (x-d) + c (Coordinates)

(1,1), (-1,-1)

f(x) = a / (x-d) + c (Name)

reciprocal

Combination of Transformation: a?

-a = ref on x

V.S (when whole num)
V.C (When decimal)

Combination of Transformation: k?

-k = ref on y

H.S (when a raw factor in decimal or a true converted factor of a whole num: 1/3 —> 3)

H.C (opposite)

Combination of Transformation: d?

H.T left or right

Combination of Transformation: c?

V.T up or down

Combination of Transformation: What is the base formula?

f(x) = af [k (x-d) ] + c

Mapping notation

(x, y) make a table —> (x/k + d, ay + c) (make a table) plug in num from x and y table

f(x) = a | k(x-h) | + c (name?)

Absoloute value

f(x) = a | k(x-h) | + c (Parent?)

f|(x) = |x|

f(x) = a | k(x-h) | + c (Special Features)

two linear functions

• Vertex (d,c)

• Symm

• -a opens dow

f(x) = a | k(x-h) | + c (Domain?)

{xER}

f(x) = a | k(x-h) | + c (Range?)

{yER | y ≥ c} (when a is +)
{yER | y ≤ c} (when a is -)