Function Function RulesRules

77thth Grade Grade

FunctionFunction

The relationship The relationship between the input between the input and output valuesand output values

FunctionFunction

Each input value has Each input value has EXACTLY one EXACTLY one output valueoutput value

FunctionFunction

Function Notation:Function Notation:

y = x + 5y = x + 5

Output Input

FunctionFunction

y = n + 5y = n + 5

Rule for Function

FunctionFunctionExample:Example:

You are driving a car You are driving a car 50 miles per hour 50 miles per hour

(mph)(mph)

FunctionFunctionExample:Example:

D = r tD = r t

d = 50td = 50td=distanced=distance

R= rate t=timeR= rate t=time

FunctionFunctionSet up a table using the previous Set up a table using the previous

function rule: d = 50 tfunction rule: d = 50 t

TimeTime

(Input)(Input)

11 22 33 44 55

DistanceDistance

(Output)(Output)

FunctionFunctionFind the Rule ~ Find the Rule ~ Remember to define the Remember to define the variable. Look at next slide to see if you are correctvariable. Look at next slide to see if you are correct

Hours WorkedHours Worked SalarySalary

11 $6.50$6.50

22 $13.00$13.00

33 $19.50$19.50

44 $26.00$26.00

55 $32.50$32.50

AnswerAnswer

Define the variableDefine the variables = salarys = salary

h = hoursh = hours

Function RuleFunction Rule

s = 6.50 hs = 6.50 h

FunctionFunction

WeeksWeeks Plant HeightPlant Height

11 33

22 55

33 77

44 99

55 1111

Find the Rule ~ then look at next slide to see if you are correct

AnswerAnswer

Define the variableDefine the variableh = heighth = height

w = number of weeksw = number of weeks

Function RuleFunction Rule

h = 2 w + 1 h = 2 w + 1

Describe a function Describe a function in your own words.in your own words.