Equations
Find the Line
Functions
Domain & Range
Graphing
100
Slope-intercept form
y = mx + b
100
Find the slope of the line passing through points (-6, -1) and (-6, 4)
m is undefined!
100
the graphical test for determining if a relation is a function
Vertical Line Test
100
The set of all inputs is called
domain
100
The behavior (increasing, decreasing, or constant) of f(x) over the interval (-1, 1)
increasing
200
General Form of a line
Ax + Bx + C = 0
200
The slope and y-intercept of 5x - y = 0
m = 5
b = 0
200
Whether this relation is a function of x
Input x: 2, 2, 3, 4, 5
Output y: 11, 10, 8, 5, 1
not a function
200
The domain of f(x) in interval notation if
f(x) = sq rt of (x-2)
D: (2, infinity)
200
The behavior (increasing, decreasing, or constant) of f(x) over the interval (-3, -1)
constant
300
Point-slope form of a line
y - y1 = m (x - x1)
300
The slope and y-intercept of 2x + 3y - 9 = 0
m = -2/3
b = 3
300
Whether this relation is a function:
yes!
300
The domain of f(x) in interval notation if
f(x) = (7x + 3) / x + 1
D: (-infinity, -1) U (-1, infinity)
300
The relative maxima of this function
(3, 0.9)
400
equation for a horizontal line
y = b
400
The slope-intercept form of the line passing through point (3, -2) that is perpendicular to x - 4 = 0
y = -2
400
The value of f(-2) if f(x) = |x| + 4
6
400
The domain of this graph:
D: [0, infinity)
400
The relative minima of this function
(1, -1) and (4, 0.6)
500
equation for a vertical line
x = a
500
The slope-intercept form of the line passing through point (2, 1) that is parallel to 4x - 2y = 3
y = 2x - 3
500
The value of f(1) if
f(x) = {2x + 1, x <0}
{2x +2, x > 0}
f(1) = 4
500
The domain of the formula for the area of a circle:
A(r) = pi * r2
D: (0, infinity)
500
the symmetry (even, odd, or neither) of the function
f(x) = x2 - 1
(graph will be provided)
neither