functions Flashcards
(13 cards)
range and domain?
range is y values , domain is x values
inverse function how to work out range and domain
range of original function becomes the domain, and the domain of inverse function becomes the range
f (| x |)
positive x values are reflected
| f(x) |
f(x) |
positive y values are reflected
y=2x + 3
what is the method to work out this inverse function
1) re arrange to make x the subject
2) switch y with x
modulus defintioin
pays attention to the distance away from 0, not the sign , eg | -3 | is just 3
how to solve |2x+3|=5
2x+3= 5
and
2x+3= -5
how to solve | x+3 |> 4
x+3>4
and
x+3<-4
how to solve 4-2|2x + 1|< 5
2x + 1 > - 1/2
2x + 1 < 1/2
WHEN U MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER INEQUALITY WILL FLIP
when solving modulus what do you change the sign of
NOT the modulus , change sign of what its equal to
what to do if ur soliving when 2 modulus are qual to eahother
square them to get rid of modulus, then solve
when is there not a function
one to many
when can there be an inverse function
one to one