Coordinate Plane
Describe how to plot the point (6, -2)
From the origin, move over to the right 6 then down 2.
Describe how to find the DOMAIN of a relation.
x-values listed from least to greatest
How would you look at a graph and determine if it is both LINEAR and a FUNCTION ?
A straight line that is not vertical.
A plane divided into four regions by horizontal and vertical number lines that is used for graphing.
Coordinate Plane
A way of renaming an equation by replacing "y" with "f(x)"
Function Notation
What quadrant would you find the point (-2, -9) ?
III
Describe how to find the RANGE of a relation.
y values listed from least to greatest
Given the following ordered pairs: (1,14), (4,20), (3,18), and (4,5), and (5,8) is this relation a function? Why or why not?
Not a function, the input of 4 appears TWICE and has two different outputs.
A set of numbers or points used to locate a coordinate on a coordinate plane, represented in the form (x,y) is an _____________ ___________ .
Ordered Pair
Given f(x) = 2x, find f(12)
24
Where is the point (0,0) located?
The Origin
Name 3 WAYS that a relation can be represented:
ordered pairs, graph, mapping diagram, table, equation
Given the following ordered pairs, what would the 4th one be assuming they formed a linear function?
(1,3), (2,0), (3,-3), (____, ____)
(4,-6)
A numerical pattern in which there is a constant difference between terms.
Linear or Arithmetic Sequence
Given f(x) = 2x + 34, find f(5) + 2
46
The vertical axis of the coordinate plane is called the ......
y-axis
Describe the difference between a continuous and discrete graph.
Discrete is a set of distinct, individual, points while continuous is a line that can be drawn with a pencil without lifting it off the paper.
If we are performing an experiment that compares the number of hours studying for a test to the increase in points earned on the test grade, which is the DEPENDENT variable ?
Points earned on the test grade
The set of all the x values of a relation or function.
Domain
Given f(x) = - x - 14, find f(-6)
-8
The horizontal axis of the coordinate plane...
x-axis
True or False
Given the following ordered pairs, (1,2), (1,5), and (3,9), your domain would be:{1, 1, 3}
False - you do not need to list "1" twice
Name 2 reasons why an equation would NOT be a linear equation.
Contains an exponent, square root symbol, or variable in the denominator.
A relation in which each element of the domain is paired with exactly one element of the range. This is typically generated by some equation or rule.
Function
An electric company charges a flat fee of $30 per month plus $2 per kilowatt of electricity used. If Paula, a customer, has a total due of $96 for her December bill, how many kilowatts of electricity did she use?
33 kilowatts