Functions (MCR3U - Functions)
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39 Terms
what is a relation
-two y values
-if coordinates given and there are x values with different y values, it is a relation
one to one relation
one element of the domain corresponds to only one element in range
one to many relation
at least one element in the domain correspond to more than one element of the range.
Many to one relation
more than one element in the domain correspond to one element of the range
Which of the following are functions:
Many to one relation
one to many relation
one to one relation
one to one
many to one
write the interval notation of this
{x | −3≤x≤1}
[−3,1]
write the interval notation of this
{x | −3<x<1}
(−3,1)
write the interval notation of this
[−2,4)
write the interval notation of this
[−4,−2]∪(−1,1)∪(1,2]∪{4}
what is a asymptote
a line that a curve approaches but never touches or crosses
what does discrete mean
describes graphs where either the domain or range contains individual points
what parent function is this
f(x)=x²
what does the parent function f(x)=x² look like? Main points?
x= 1,2,3
what parent function is this
f(x)=|x|
what would the parent function f(x)=|x| look like? main points?
x=-3,-2,1,1,2,3
what parent function is this?
f(x)=√x
How would you graph f(x)=√x? Main Points?
x=0,1,4,9
What parent function is this?
f(x)=1/x
How would you graph f(x)=1/x ? Main points?
x=-2, -1, -0.5, 0.5,1,2
what is the formula for function transformation
y - af(k(x - d)) + c
Which part y=af(k(x - d)) + c is vertical translations?
c is
c>0 shift up
c<0 shift down
Which part y=af(k(x - d)) + c is horizontal translations?
d is
d>0 right
d<0 left
Which part y=af(k(x - d)) + c is horizontal stretch/compression?
k is
k>1 or k< -1 compressed horizontally by 1/k (x/k)
-1<k<1 stretched horizontally by 1/k (kx)4
k<0 horizontal reflection (y axis)
How would you graph this transformation:
y=4f[-1/2x-3]-5
What is the mapping notation formula?
(X/k+d,ay+c)
Which type of map is the inverse of a function of?
A one-to-one
How do you say f^-1 in words
Inverse of f
f^-1(x)
f inverse of x
How do you say f(1)=-2
F of 1 is equal to -2
What is the inverse of a relation represent?
describe function
write equation
graph using function notation.
determine equation
determine the equation:
