Relations and function
The way of discovering something is a function
What is the Vertical Line Test?
When points on a graph lie along a straight line
What is a Linear relation?
The number of formulas for linear functions
What is 4 formulas?
The difference between a linear equation and a linear inequality
What is a greater or less than sign?
The number of ways to solve systems of equations
What is 4?
The definition of function notation
Equations that represent functions
example: y = 2x + 7
the common form used to write in
Standard form
Ax + By = C
(-6,1) and (-3,7)
Find the slope
2
x - 6y < -12
y = 1/6x + 2
x - 2y =8
6x - y =-7
y = 1/2x - 4
y = 6x + 7
(-2,-5)
find p(24) if p(t) = 108 + 74t
p(24) = 1884
y = 2x - 9
2x - y =9
y = -3x + 16/3
Find the x and y intercept
x = 16/9
y = 16/3
(16/9, 16/3)
5x + 3y ≤ 12
y ≤ -5/3x + 4
2x + 3y = -35
8x - y =-23
x = -4
y = -9
(-4,-9)
Find p(c + 2) if p(c + 2) = -4x + 9
-4c + 1
3/4x - 1/3y = 1
9x - 4y = 12
(-1,7); m = -4
y = -4x + 3
7x + 3y ≤ 18
2x - 3y ≤ 9
y ≤ -7/3x + 6
y ≥ 2/3x -3
18x - 12y = 7
12x - 8y = -21
No solution
Parallel lines
Find g(2m + 1) - f(3m -7) if f(x) = -4x + 9 and
g(x) = x2 - 5
16y6 -5
4y = 10x - 24
Find the x and y intercept
x = 12/5
y = -6
(12/5,-6)
A cab ride costs $4 plus $1.75 per mile driven
Write an equation to represent the cab fare
Define the variables
y = 1.75x + 4
The steps for solving a linear inequality
1. Put the inequality in slope-intercept form.
2. Graph the line
3. Shade above or below the symbol
5x - 3y + 8z = -59
9x -4y -z = -60
5x + 2y + 4z =-47
x = -7
y = 0
z = -3
(-7, 0, -3)