Domain and Range
Linear Function Pattens
Function Notation
Linear and Nonlinear
Arithmetic Sequences
100
The set of all input values
What is Domain?
100
A function whose graph is a line
What is a linear function?
100
Another name for y
What is f(x)?
100
A graph that shows a constant rate of change
What is the graph of a Linear Function?
100
An ordered list of numbers
What is a sequence?
200
The set of all output values
What is Range?
200
Do all linear fuctions have to have a y intercept?
No
200
A function whose graph is a V shape, and opens up or down.
What is an Absolute Value Function?
200
A graph that doesn't show a constant rate of change
What is a graph of a Non-linear functions?
200
Each number in a Sequence
What is a term?
300
A set of input values that consists of only certain numbers in an interval
What is Discrete Domain?
300
Do all linear functions have to have a slope? In other words, does a straight vertical line represent a linear function?
Linear Fuctions must have slopes. A vertical line does not represent a linear function.
300
A function defined by two or more equations
What is a Piecewise Function?
300
Does the graph represent a linear or nonlinear function?
A nonlinear function
300
True of False: An arithmetic sequece ALWAYS has the same intervals between terms.
True
400
The set of input values that consists of all certain numbers in an interval
What is Continuous Domain?
400
x: 1 3 4 y: 3 7 9 The table above represents the number of hours driving (x) and the distance in miles traveled (y). Is the domain continuous or discrete? What linear equation represents this situation? How many miles were traveled after 2 hours?
Continuos y=2x+1 5 miles
400
Write an equation for a given translation of y=|x|: 9 up 5 right
y=|x-5| + 5
400
Does this graph represent a linear or nonlinear function?
A nonlinear function
400
Write the next three terms of the arithmetic sequence. 15, 45, 75...
105, 135, 165
500
SNEAKERS x (pair of shoes) 1 2 3 4 5 ---------------------------------- y (Price) 4 8 12 16 20 Based on the table above, what is the equation represented? What type of domain does it have? And why isn't 4 part of the domain?
y=4x Discrete Domain 4 is part of the range not domain
500
x (fruit ): 0 | 250 | 500 | 750 | 1000 y (cost ): 0 | 550 | 1050 | 1550 |2050 The table above represents a fruit vender who only sells in bulk. Is the domain discrete or continuous? Write an equation that represents the situation. If I wanted to buy 4000 fruits, how much would I have to pay?
Discrete y=2x+50 8050 dollars
500
An evil scientist rents an evil space ray of doom for an undertimed period of time. The first day costs $200, and each day after costs $100. Write and graph a piecewise function to represent the situation.
y={200x if x1
500
Jimmy grows 2 inches a year.. Tom's yearly growth is expressed in the table. x: 3 6 8 y: 5.7 11.4 15.2 Does Tom's growth express a linear function? Who grows faster, Jim or Tom?
Yes Jim grows faster
500
Write an equation for the nth term of the arithmetic sequence, then find a sub 10. 25, 75, 125...
a sub n= 50n + 25 a sub 10 = 525
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