Functions Flashcards
1
Q
f-1(x)
A
- f(x) range = domain
f(x) domain = range
reflect in y=x
2
Q
Newton raphson
A
Xn - f(xn)/ f’(Xn)
3
Q
For numerical methods
A
f(x) is continuous in [a,b]
change of sign between f(a) and f(b)
at least one root
4
Q
b^2-4ac < 0
A
no roots/ intersections
5
Q
b^2-4ac = 0
A
one root/ intersection
6
Q
b^2-4ac > 0
A
two real roots/ intersections
7
Q
f’(x) > 0
A
increasing
8
Q
f’(x) < 0
A
decreasing
9
Q
f’‘(x) <0
A
local maximum
concave
10
Q
f’‘(x) > 0
A
local minimum
convex
11
Q
f’‘(x) = 0
A
point of inflection
12
Q
f(ax)
A
stretching sf 1/a in horizontal direction
13
Q
af(x)
A
stretching Sf a in vertical direction
14
Q
f(-x)
A
reflect in y axis
15
Q
-f(x)
A
reflect in x axis
