Functions and Graphs

Question 1

How do we find the area between two functions?

Answer 1

Do (upper)-(lower) then integrate the answer once only between the 2 bounds.

Question 2

What is the relationship between the domain and range on a function and it’s inverse?

Answer 2

Domain —> (function) —> Range
I
I
V
Range <— (inverse function) <— Domain

Question 3

How do we sketch the graph of an inverse function? (From the graph of a function)

Answer 3

Reflect it in the diagonal line “y=x”

X and y coordinates switch.

Question 4

How do we find an inverse function? (From a function)

Answer 4

•Rename - change f(x)= to y=
•Rearrange- rearrange subject of formula to x=
•Rename - replace x= with f^-1(x) and y into x

Question 5

How is a function graph translated?

Answer 5

af(bx+-c)+-d

a= vertical stretch
f= stretch or reflect it
b= horizontal stretch
c= move left (+) or right (-)
d= vertical move up (+) or down (-)