Pure Year 2 Unit 2 Flashcards
What does the modulus of a number do?
Make it not negative
When f(x) >= 0, the modulus of f(x) =
f(x)
When f(x) < 0, the modulus of f(x) =
-f(x)
How to sketch y = modulus(ax+b) ?
sketch y = ax+b, then reflect the part of the graph below the x axis in the x axis
What is domain and range?
Domain = all possible inputs Range = all possible outputs
A mapping is a function if every input has a distinct output, functions can be what or what?
one-to-one or many-to-one
What type of function is fg(x)?
Composite
What is the inverse of f(x)?
f-1(x)
What does y=f(x) look like in relation to y=f-1(x)?
A reflection in the line y=x
How do the domains and ranges of inverse functions relate?
The domain of f(x) is the range of f-1(x)
The range of f(x) is the domain of f-1(x)
How to sketch y = modulus(f(x))
Sketch f(x), reflect any parts under the x axis in the x axis, delete all parts under the x axis
How to sketch y = f(modulus(x))
Sketch f(x) for x>=0, reflect this in the y axis
What does f(x+a) do?
Translation left by a
What does f(x) + a do?
Translation up by a
What does f(-x) do?
reflect in y axis
