1. Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 4 Section 1.6 – Represent Functions as Rules and Tables Function – is a pairing of inputs with outputs such that each input is paired with exactly one output. Domain – the set of all INPUTS of a Function. Range – the set of all OUTPUTS of a function. Independent Variable – the input variable of a function. Dependent Variable – the output variable of a function. Example # 1 – Word Problem A diver uses a sonar device to determine the distance to her diving partner. The device sends a sound wave and records the time it takes the wave to reach the diving partner and return to the device. Suppose the wave travels at a rate of about 4800 feet per second. a) The wave returns 0.2 second after it was sent. How far did the wave travel? Create a Rule: Distance the Wave Traveled =Speed of Sonar Wave x Time for Sonar Wave to return Dependent Variable = Constantx Independent Variable

2. Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 4 Example # 1 – (Con’t) Section 1.6 – Represent Functions as Rules and Tables Design a Rule Machine Distance the Wave Traveled =Speed of Sonar Wave x Time for Sonar Wave to return Distance the Wave Traveled = Distance the Wave Traveled (ft) Time for Sonar Wave to return (sec) Dependent Variable Output.3.25.2.15.1.05 Independent Variable Input Distance the Wave Traveled = x Time for Sonar Wave to return Distance the Wave Traveled =

3. Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 4 Example # 1 – (Con’t) Section 1.7 – Represent Functions as GraphsInput Independent Variable Time for Sonar Wave to return (sec) x.05.1.15.2.25.3Output Dependent Variable Distance the Wave Traveled (ft) y24048072096012001440 Graph of Input-Output Table for Sonar Wave

4. Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 4 Example # 2 – Activity 1.6 on pg 41 Section 1.7 – Represent Functions as Graphs How can you use a graphing calculator to create a table for a function? The formula gives the temperature in degrees Celsius as a function of the temperature in degrees Fahrenheit. Make a table for the function. Discuss what would the input and output variables be?

5. Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 4 Example # 3 – Input Independent Variable x12479 Output Dependent Variable y01368 Section 1.7 – Represent Functions as Graphs Write a rule for the function represented by the table. Let x be the input, or independent variable, and let y be the output or dependent variable. Solution: Notice that each output is 1 less than the corresponding input. The rule for the function represented by the table is: and the graph of the function:

6. Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 4 Example # 4 – InputDomainx01234 OutputRange y54321 Section 1.7 – Represent Functions as Graphs Write a rule for the function represented by the graph. Identify the domain and the range of the function. Notice when x is 0, that y is 5. Solution: The rule for the function represented by the graph is: As the input increase, the output decreases by the same amount.

7. Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 4 Homework # 4 pg 38 # 3-5 pg 39 # 14-20, 25 pg 46 # 6,11 pg 47 # 16 Section 1.6 & 1.7