Solving Linear Equations
Solve:
5p + 11 = -19
p = -6
Find b:
y = 3x - 4
b = -4
The set of all x-coordinates of a relation
Domain
What is the domain of all quadratic functions?
(-∞, ∞)
Solve:
p2 = 9
{-3, 3}
Solve:
18x + 5 = 12x + 11
x = 1
Find m:
y = -4/5 x +9
m = -4/5
The set of all y-coordinates of a relation
Range
What is the vertex of
f(x) = 2 (x - 5)2 - 8?
(5, -8)
Solve:
n2 - 5 = -4
{-1, 1}
Solve:
2 (x + 2) + 3x = -4 + 2x + 7
x = -1/3
Which type of line is
y = 7?
A horizontal line
A set of ordered pairs
Relation
What is the graph pattern of
f(x) = -3 (x + 6)2 + 4?
-3, -9, -15
Solve:
5x2 - 20 = 0
{-2, 2}
Solve:
-3x + 1 = -3(x - 1) - 2
Infinitely many solutions
Which type of line is
x = -1?
A vertical line
A special relation in which each x-coordinate is paired with exactly one y-coordinate
Function
What is the axis of symmetry of
f(x) = -2x2 - 12x - 10?
x = -3
Solve:
3x2 + 100 = 25
{-5i, 5i}
Solve:
-2 (v - 2) = -3 - 2v
No solution
Put y - 8x = 15 into
slope-intercept form.
y = 8x + 15
A test used to determine if a relation is a function
Vertical Line Test
Find the range of
f(x) = (x + 4)2 - 2.
[-2, ∞)
Solve:
10z2 - 10 = 470
{-4√ 3, 4√ 3}