A level maths: functions & graphs

studied byStudied by 4 people
0.0(0)
Get a hint
Hint

Modulus function

1 / 6

flashcard set

Earn XP

7 Terms

1

Modulus function

  • when f(x) > 0, modulus = f(x)

  • when f(x) < 0, modulus = -f(x)

New cards
2

Modulus graphs

  • sketch non modulus graph

  • reflect any section below the x-axis in the x-axis

New cards
3

Mapping

  • a function if every input has a distinct output

  • one to one, many to one

  • one to many FUNCTION DOES NOT EXIST as it won’t have a distinct output

New cards
4

Composite functions

  • function of a function

  • apply inner first, then outer

New cards
5

Inverse functions

  • performs the opposite operation

  • within the same domain

  • only exist as one to one functions

  • f(x) & f^-1(x) are inverses of each other

  • range of f(x) = domain of f-1(x)

  • range of f^-1(x) = domain of f(x)

New cards
6

Modulus graphs of functions

  • if the modulus is of the entire function, reflect only that below the x-axis

  • if the modulus if only of x within the function, sketch all values for x>0, reflect sketch in the y-axis

New cards
7

Combining transformations

  • f(x+a) = horizontal of -a

  • f(x) +a = vertical of a

  • f(ax) = horizontal stretch of 1/a

  • af(x) = vertical stretch of a

  • f(-x) = reflection in y-axis

  • -f(x) = reflection in x-axis

New cards

Explore top notes

note Note
studied byStudied by 5 people
... ago
5.0(1)
note Note
studied byStudied by 457 people
... ago
5.0(1)
note Note
studied byStudied by 11 people
... ago
5.0(1)
note Note
studied byStudied by 14 people
... ago
5.0(1)
note Note
studied byStudied by 43 people
... ago
5.0(2)
note Note
studied byStudied by 11 people
... ago
5.0(1)
note Note
studied byStudied by 3 people
... ago
5.0(1)
note Note
studied byStudied by 739 people
... ago
5.0(3)

Explore top flashcards

flashcards Flashcard (42)
studied byStudied by 73 people
... ago
5.0(7)
flashcards Flashcard (23)
studied byStudied by 4 people
... ago
4.5(2)
flashcards Flashcard (25)
studied byStudied by 4 people
... ago
5.0(1)
flashcards Flashcard (164)
studied byStudied by 25 people
... ago
4.0(1)
flashcards Flashcard (41)
studied byStudied by 107 people
... ago
5.0(1)
flashcards Flashcard (57)
studied byStudied by 4 people
... ago
5.0(1)
flashcards Flashcard (22)
studied byStudied by 4 people
... ago
5.0(2)
flashcards Flashcard (155)
studied byStudied by 16 people
... ago
5.0(1)
robot