Chapter One: Relations and Functions Flashcards
1
Q
standard equation of a line
A
Ax + By = C
2
Q
slope-intercept form of a line
A
y = mx + b
3
Q
point-slope form of a line
A
y - y1 = m(x - x1)
4
Q
slope formula
A
m = (y2 - y1) / (x2 - x1)
5
Q
A
f(x) = x
6
Q
A
f(x) = x2
7
Q
A
f(x) = x3
8
Q
A
f(x) = √x
9
Q
A
f(x) = |x|
10
Q
A
f(x) = [x]
11
Q
standard/quadratic form of a parabola
A
f (x) = ax2 + bx + c
12
Q
vertex form of a parabola
A
f(x) = a(x-h)2 + k
13
Q
vertex (h, k)
A
h = -b/2a
k = f(h)
14
Q
even function
A
f(-x) = f(x) and f(x) = f(-x)
symmetric across the y axis
15
Q
odd function
A
f(-x) = -f(x)
symmetric about the origin
16
Q
A
the difference quotient
17
Q
discriminants
A
positive: 2 real roots
zero: 1 real root
negative: no real roots (two complex roots)
18
Q
the distance formula
A
19
Q
the midpoint formula
A
20
Q
profit function
A
P(x) = r(x) - c(x), where c(x) is the cost, and r(x) is the revenue
21
Q
equation of a circle
A
(x-h)2 + (y-k)2 = r2
