Functions Flashcards
1
Q
What must a function be
A
One to one
Or
Many to one
2
Q
What is an asymptote
A
A line a curve approaches but never touches
3
Q
What transformation is f(x)+a
A
Translation in y
(0)
(a)
4
Q
What transformation is f(x+a)
A
Translation in x
(-a)
(0)
5
Q
What translation is kf(x)
A
Stretch in y
SF: k
6
Q
What is the transformation f(kx)
A
Stretch in in x
SF: 1/k
7
Q
What is the transformation -f(x)
A
Reflection in y=0
8
Q
Describe transformation f(-x)
A
Reflection in x=0
9
Q
If a(x+p)^2+q is a curve after completing the square, what is the vertex of the curve?
A
(-p,q)
10
Q
What does the discriminant equal when the curve has:
a) 2 real roots
b) 1 real root
c) 0 real roots
A
a) >0 (distinct)
b) =0 ((repeated/ equal))
c) <0 (no real roots)
