the table shows the pay d (in dollars) as a function of the number of hours worked h. 1.) complete...
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The table shows the pay d (in dollars) as a function of the number of hours worked h.
1.) Complete the table of values and graph using the equation:
Hours (h) 1 4 7 10
Dollars earned(d)
7d h
2.) Thinking of the graph of this function, should you connect the dots? Why or why not?
4.) Would it be reasonable to expect 40 hours to have $280 earned? Why or why not?
3.) How much money was made after working 4 hours? Express your answer in function notation.
Word Your Guess Definition Example
Domain
Range
Max Value
Min Value
Zero/s
Y-intercept
The y-values that can be plugged into the function
The point(s) where the graph crosses the x-axis (x-intercept)
The point(s) where the graph crosses the y-axis
The x-values that can be plugged into the function
The highest point on the graph (in a particular interval)
The lowest point on the graph (in a particular interval)
Word Your Guess Definition Example
X-intercept
Interval ofIncrease
Interval ofDecreaseEnd Behavior
Parent Function
The interval where a graph is increasing (like climbing a hill)
The interval where a graph is decreasing (like going down a hill)The direction the end of the graph is pointing. The head and tail of a graph.
The basic functions used as building blocks for more complicated functions.
The point(s) where the graph crosses the x-axis (zero)
Parent GraphsThoughts on Parenthood…..
Your children need your presence more than your presents. ~Jesse Jackson
Parents often talk about the younger generation as if they didn't have anything to do with it. ~Haim Ginott
What’s this have to do with math??????
Parent Graphs/Parent Functions
Which parent am I related to? _____________________
Which parent am I related to? _____________________
Which parent am I related to? _____________________
X-intercepts and Zeros
Always expressed as an ordered pair!
Minimum-
Maximum-
The lowest point in a particular section of a graph
The highest point in a particular section of a graph
It’s where the graph CHANGES directions!
Intervals of increase and decrease
(1,-2)
(-1,2)
increasing increasingdecreasing
Increasing and decreasing are stated in terms of domain
(2, 1)(0, 1)
increasing decreasingconstant
Ex. 4c Increasing and decreasing are stated in terms of domain
End Behavior
Domain
Domain
Domain
List the Domain.Domain
List the Domain.
List the Domain.
What is the domain?
Choose the best answer
(2,4)
(-1,-5)
(4,0)
y = f(x)
41)
41)
40 )
51)
xD
xC
xB
xA
Ex. 2 Find the domain of f x x( ) 4
List the Range.
Rang
e
List the Range.
Rang
e
List the Range.
Rang
e
List the Range.
(2,4)
(-1,-5)
(4,0)
y = f(x)
What is the range?
Ex. 2 Find the range of f x x( ) 4
How do we determine the domain of a function (by looking at it’s graph)?
What is a max value?
What is a y-intercept? How do you find it?
What is a zero? How do you find it?
How about the range?
What is a min value?
Parent Function:Interval of increase: Interval of decrease:End Behavior:x-intercepts/zeros:Domain:Range:Max or min:y-intercept:
Complete the “Function Families Proper Notation”
sheet.