
Name the three terms for the domain
xaxis / input / interval

Name the two terms for range
yaxis / output

Define function
Relation in which each input has one and only one output

Determine if the domain and range of the relation and explain why.
[(2,1), (1,6), (5,1), (8,9), (11,8)]
No repeating x values

Determine the domain and range of the relation.
[(3,4), (1,6), (9, 8), (4, 6), (1, 9)]
Domain (x): (3, 1, 9, 4, 1)
Range (y): (4, 6, 8, 6, 9)

Tell whether the relation is a function and explain why.
[(7,7), (1,7), (6,1), (11,6), (1,8)]
Not a function, cannot have two x values

What is a "Vertical Line Test"?
If a vertical line intersects more than once on the graph, then it is not a function.

What sign do you use for the graph notation below?
∞, 5
[∞, 5)

What order do you notate graph points?
(lowest, highest)

What does it mean if you have a nonfunction from a vertical line test?
If it intersects, then you have two x values.

What does the symbol below mean?
⋃
union

When combining two domains below, what would be the long and simplified (final) answer?
∞, 0 & 0, ∞
Long answer: [∞,0) U (0,∞]
Simplified: [∞,∞]

What does f(x) equal?
range / yaxis

Find f(x) when f(x) = x^2  2x  2
(x)^2  2(x)  2
x^2 + 2x 2


Find f(4) when f(x) = x^2  2x  2
(4)^2  2(4)  2
16 + 8  2 = 22

When determining where a function might be increasing/decreasing/constant, how do you use the x and yvalues of the graph?
Refer to yaxis from left to right

What is the slope function?

What is the slope intercept function?
y = mx + b

What is the pointslope function?
y  y = m(x  x)

What is the general or standard function?
ax + by = c

What axis is the horizontal line?
y

What axis is the vertical line?
xaxis

What is a common value with parallel lines?
It has the same slope

What is the sign for slope?
m

What does the sign below mean?
m
slope

What slopes have negative reciprocals?
Perpendicular lines

How do you map the slope function on a graph?
rise/run from y  axis point

Define the slope below.
4/0
undefined

If the line is undefined, what direction is the line going?
vertical

What is the pointslope form of the equation of the line?
Slope = 6, passing through (5,9)
y  9 = 6(x  (5))

What is the slopeintercept form of the equation of the line of the pointslope form below?
y  9 = 6(x(5))
y = 6x + 39

If a line rises from left to right, the line has _______slope.
positive

A line that falls from left to right has a _________ slope
negative

The slope of a horizontal line is _____
0

The slope of a vertical line is _________
Undefined

The equation y=3 is a
horizontal line

The graph of the equation x=3 is a
vertical line


What is the vertical line test?
If a vertical line passes through an x value twice on the graph

Find F(4) when f(x) = x^2  2x  2
(4)^2  2(4)  2
16+8+2 = 22

Find f(0) when f(x) = x^2 + 5 4
0^2 + 5(0)  4 = 4

Find F(x) when f(x) = x^2  2x  2
(x)^2  2(x)  2
x^2 + 2x  2

If you are asked f(3) = ? . What steps are there to find correct point on the graph?
refer to xaxis to find 3 first and find corresponding yaxis point below or above the xaxis

If you are asked f(x)=4 what steps to find the correct point on the graph?
First, find 4 on the yaxis and then find corresponding xaxis point to the left or right of the yaxis

Find the slope for the points and indicate whether the line through the points rise, fall, is horizontal or vertical. (2,4) and (3,6)
2
Line rises from left to right

Find the slope for the points and indicate whether the line through the points rise, fall, is horizontal or vertical. (7,5) and (7,9)
slope is undefined
The line is vertical

If is a line is undefined, it is what?
vertical

If a line is vertical, it is what?
undefined

Write the pointslope from of the line satisfying the given conditions. Then use the pointslope form of the equation to write the slopeintercept form of the equation.
Slope = 6, passing through (5,9)
Step 1 (pointslope)
y  y1 = m(x  x1)
y  9 = 6(x  (5))
Step 2 (Slopeintercept form)
y  9 = 6x + 30
y= 6x + 39

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal or vertical.
(1,6) and (4,5)
Slope is negative
line falls from left to right

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal or vertical.
(2,3) and (7,3)
Slope is 0
The line is horizontal

Given the slope and yint of the line whose equation is given. Give the steps to graph this properly.
y = 5x+1
The slope is 5
The yintercept is 1
Step 1
Find the yint, then from that point rise 5 and run 1

Put the following in a linear equation in slopeintercept form and state what direction the line on the graph would be.
y=2
y = mx + 2

Put the following in a linear equation in slopeintercept form and state the slope and what the yintercept is.
y = 2/3x
y= 2/3x + b
slope is 2/3
yint is 0

Put the following in slopeintercept form and state the slope.
x = 5
y= mx + b
y = m5 + 0
 y2  y1 = 1 + 0 (When y is zero, use 1+0)
 _________________________________
 x2  x1 = 5 5
1/0 = undefined

Write an equation of the line
Horizontal: through (0, 3)
What is the equation of the line in standard form?
ax + by = c
x=c
x + (3) = 0
x = 0/3 = 0

a. Rewrite the equation 2x + y + 1 = 0 in slopeint form.
b. Give the slope and yint
c. List steps to graph the slope and yint
 a. 2x+y+1 = 0
 y = 2x  1
 c. y = 1
 m = 2 = 2 / 1 = RISE/RUN

Determine the x and y intercepts with the equation below.
solve x
 5x + 5y + 25 = 0
 5x + 5(0) + 25 = 0
 5x + 25 = 0
 5x = 25
 x = 5
 Solve for y
 5x + 5y + 25 = 0
 5(0) + 5y + 25 = 0
 5y + 25 = 0
 5y = 25
 y=5

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

