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
What is range
Interval of values the function can have
What is amplitude
Distance between maximum and minimum point and midway line
Where does sin function start
0
Where does cos function start
1
a+bsinc
What does a change
What does b change
What does c change
A= up and down x axis B= changes amplitude C= changes period
