Terms to know: › Relation: A set of ordered pairs › Ordered Pairs: set of coordinates that

indicate a point on a coordinate plane.› Domain: The first number in relation (x-axis) › Range: The Second number in a relation (y-

axis)› Function: A special type of relation that

allows the domain to match with one range.

Plot the ordered pairs on the graph (0,0), (4,4),(-4,-4),(7,7),(-7,-7)Determine whether this is a function or not.

Is this graph a function ?

YES!!

( 6,5), (7,5), (3,9), (5,3), (8,4)

35678

3459

Is this relation a function ?

NO!!

Terms to know:› Function Notation: A replacement for (y)

only when you are solving for it looks like (f(x)=5x+6).

Terms to Know:› Linear Equation: Is an equation containing

two or more variables in the first degree capable of being added together.

Graph the equation y = 2/3 x+1› Y= mx+b

b=1 (plot this on the graph on the x-axis) m= 2/3 from the point

on the x- axis you will have to count up 2 and to the right 3 to make the line increase and 2 down and 3 to the left to make it decrease once you have done that your graph will look like this.

Terms to Know:› Linear Equation: is an equation containing

two variables capable of being added together. Both variables must be in the first degree.

Write an equation in slope-intercept form for the line with a slope -3 and passes through the point (4, 2).› We need to solve for the

slope intercept form y =mx+ b First we substitute -3 for m

Next 4 for x Last the 2 for y then solve for b, buy plotting. Once you have plotted all that you can start counting using the -3 plus 1. So if you go up 3 you must more 1 to the left and if you go down 3 you need to go 1 to the right like this.

Terms to know: › Piecewise function: A fuction in which different

equations are used for different intervals of the domain.- (An exapmple of this is the graph on page forty five; the time it takes to travel from one place to another is often sporadic- your speed changes frequently along the way, which greatly affects the time it takes to travel)

› Step funtion: a piecewise function where the graph looks like a set of stairs. In a step function, there are breaks in the graph of the function.

absolute value function- This is another piecewise function in which f(x)= the absolute value of x. Here is a table representing an absolute value function:

       __x___     __F(x)____         -3               3        -2.4            2.4          0               0        0.7            0.7

     2               2        3.4             3.4

› The graphs of these functions have a v-shape. This is just an

example not the answer !!

Terms to know:› Linear inequalities: A linear inequality is not a

function, but linear functions are used to graph linear inequalities.

› Half planes: when a line is graphed, it separates the coordinate plain into two regions called half planes.

› Boundary: the line/ inequality/ equation graphed is the boundary between the half planes.

Important notes:› If the >,< signs are given to you, the line you

graph is dashed/ broken.› If the >, < are given to you, then the line you

graph is not broken

For example: y= -1/2x+ 5 (this is a linear equation) when the line of y=-1/2x+5 is graphed, this line creates a boundary between the positive shading region and the negative shading region. › The negative shading region is

below the original line drawn, while the positive shading region is above it.

› If y is grater than its intercept (5 in this case), then shading is necessary above the line. If it's less than its intercept, then

shading below the line is necessary.

In the case of y> -1/2x+5, you would graph the line dashed, and the shading would be above the line.