Functions Flashcards
n shaped quadratic function is
Negative
U shaped quadratic function is
Postictve
ax+b
What does a represent
What does b represent
A is slope
B is y intercept
a(x-h)^2+k What does a represent What does h represent What does k represent What is the line of symmetry What is the turning point
A= making graph wider (>1) or narrow (<1)
H= horizontal translation (h>0 to the left and h<0 to the right)
K= vertical translation
Line of symmetry is x=h
Turning point = (h,k)
Steps for completing the square
Make x^2 on its own
Half the coefficient of x and put in brackets and square
Subtract half the coefficient of x squared and include c divided by a
Evaluate and simplify
To find the inverse of a function
Left f(x) =y
Express x in terms of y (get x on its own)
Rewrite as f^-1 (x), replacing y with x
Invective
Every x must have only one y
One to one
Surjectyve
Every y must be used
All the elements in the codomain must be un the range
Bujective functik.
Injectuve abd surjective
[0, infinity) meaning
Starts at 0 and goes to infinity
Equation for range
2pi over c
Range equation when b>0
(a-b, a+b)
Range equation when b<0
(a+b, a-b)
Range of tan function
Minus infinity, infinity
What is the period
Horizontal distance required for graph to complete one cycle
