Unit 6 Graphing Linear Equations

Transcription

1 Unit 6 Graphing Linear Equations NAME: GRADE: TEACHER: Ms. Schmidt _

2 Lesson 1 Homework Solving a Linear Equation for Solve each equation for and state the slope and -intercept = 5. + = 1. 4 = 8 4. = 7 5. = = = = 7 9) Evaluate each epression for n = a. n + 5 n b. n+18 n c. 4 n 4 n 10) Simplif: a) b) 4 () c) (5) 0 d) 5 0 e)

3 A. Steps for Graphing a linear equations using a table: Lesson Classwork Graphing a Line from a Table = - 5. = 1 + (,) (,). + = = 16 (,) (,)

4 Tr These: 1. = - 4 (,). = - (,). 6 + = 4. = 4 (,) (,)

5 Graph each line using a table of values. 1. = - 6. = 1 +1 Lesson Homework Graphing a Line from a Table (,) (,). - + = = 9 (,) (,) Review: 5) Simplif: ( 5) ( + ) + (- + 7) 6) Simplif:

6 Lesson Classwork Graphing a Linear Equations using Slope and Y-Intercept Graphing Linear Equations without a table Graph the line: = - 5 Steps 1) ) ) 4) 5)

7 Lesson Classwork Graphing a Linear Equations using Slope and Y-Intercept 1) ) ) 4) 5) 6)

8 Graph the following lines. Lesson Homework Graphing a Line using Slope and -intercept 1) = ) = ) slope = 0 -intercept = - 4) = 5) = -5 6) Given = 5 -, what is the slope of the line? 7) Given = -7-4, what is the -intercept of the line? 8) If the slope of a line is ½ and the -intercepts is, what is the equation of the line?

9 Lesson 4 Classwork Graphing a Line using Slope and -intercept Sketch the graph of each line. 1) ) ) 4) 5) 6)

10 7) 8) 9) 10) 11) 1)

11 Graph the following using slope/-intercept: Name the tpe of slope for each line. 1) = -5 ) = -5 Lesson 4 Homework Graphing a Line using Slope and -intercept ) = ) + = 4 5) Simplif each epression: 4s a) s b) ( ) c) d) 4 6 6) Rewrite 81 in eponential form using as the base. 7) Solve: = 1 + 4

12 Lesson 5 Classwork Writing a Function Rule Vocabular: Input values: Output values: Relation: Function: Function Rule: Making Function Tables To find the output values of a function, substitute the input values for the variable in the function rule. 1) = + 1 Input Function Rule Output Ordered pairs + 1 Y (,) 0 1 ) = + ) = 4 Input () -1 Output () Input () Output () ) What is the output for an input of 7 if the function rule is 4n? 5) If the output is 4 and the function rule is n +, what is the input?

13 Finding Function Rules This ear, the onl function rules ou will write will be linear equations. To write a function rule, then, is to write a liner equation! Input Output () () What is the slope? What is the -intercept? Write the equation for the line (function rule) Write an equation for each given function (Function rule). 1) ) n t ) 4) Hours Pa ($)

14 Lesson 5 Homework Understanding Functions Write the function rule for the following table, fill in the missing -value in the table, and graph the function. Input Output Function Rule: Write an equation for the function and find the missing value in the table: ) ) m c ) What is the output for the function rule = - if the input is 10? 5) What is the input for the function = 5 if the output is -11?

15 Vocabular: Lesson 6 Classwork Function vs. Not a Function Relation: Domain: Range: Function: Vertical Line Test: Given the relation: {(1,), (, 4), (, 5), (,6), (1,-)} What is the domain? What is the range? Complete the following table and graph the function: Which relation represents a function? 1) ) ) 4) Which relation diagram represents a function? 5) ) ) ) Domain Sue Joe Emma Lill Range Blue Red Pink

16 Using the vertical line test state whether or not each relation is a function. 9) 10) 11) 1) 1) Tr These: Which of the following represents a function? 1) ) ) 4) Domain Range 5 A 7 B C 11 5 D 5 6 5) 6) 7) 8) Domain Range - Beth Dave -1 5 Sall Mike 0 4 Luc Ran Jen Dan 1 5 9) 10) 11) 1) Domain 4 5 Range ) 14) Which set of ordered pairs represents a function? Which set of ordered pairs is not a function? 1) ) ) 1) ) )

17 1) Which of the relations below is a function? Lesson 6 Homework Function vs. Not a Function A) {(,), (,4), (5,1), (6,), (,4)} B) {(,), (,4), (5,1), (6,), (7,)} C) {(,), (,4), (5,1), (6,), (,)} ) Given the relation A = {(5,), (7,4), (9,10), (, 5)}. Which of the following values for will make relation A a function? A) 7 B) 9 C) 4 ) The following relation is a function. {(10,1), (5,), (15, 10), (5,6), (1,0)} A) True B) False 4) Which of the relations below is a function? A) {(1,1), (,1), (,1), (4,1), (5,1)} B) {(,1), (,), (,), (,4), (,5)} C) {(0,), (0,), (0,4), (0,5), (0,6)} 5) The graph of a relation is shown at the right. Is this relation a function? A) Yes B) No C) Cannot be determined from a graph 6) Is the relation depicted in the chart below a function? A) Yes B) No C) Cannot be determined from a chart 7) The graph of a relation is shown at the right. Is the relation is a function? A) Yes B) No C) Cannot be determined from a graph

18 Are the following graphs Linear or Non-linear? (Which ones are Linear Functions?) Lesson 7 Classwork Linear vs. Non-Linear ) 4) 5) 6) 7) * 8) Are the following equations Linear or Non-linear? (Which ones are Linear Functions?) 9) 9 10) 11) 10 1) 1) = 5 14) = 15) 16) = 8 16) = + 7 Are the following tables Linear or Non-linear? (Which ones are Linear Functions?) 17) 18) 19) 0) Are the following word problems Linear or Non-linear? 1) Sam put $10 in the bo under his bed ever week ) A dolphin jumps above the surface of the ocean water, then dives back in the water. ) A soccer plaer sprints from one side of the field to the other. 4) A lacrosse plaer throws a ball upward from her plaing stick with an initial height of 7ft and an initial velocit of 90 ft. per second. 5) A rocket is shot off into the air and then comes back down to the ground. 6) Bill borrows $,500 from the bank and has to pa it off monthl for 0 months.

19 Are the following Linear or Non-linear? Lesson 7 Homework Linear vs. Non-Linear 1) = ) = + 1 ) = 5 + 4) = + 9 5) 7 = 6) 7) 8) 9) 10) A baseball plaer hits a pop fl 11) The path traveled b a basketball during a shot on the basket 1) A babsitter getting paid $6 per hour 1) You deposit $50 per ear for 9 ears 14) 15) 16) 17) 18) Which equation represents a linear function? A. = 8 4 B. = C. = + 5 D. 19) Which of the following does not describe a linear function? A. the perimeter, p, of a square with side s: p = 4s B. the circumference, C, of a circle with radius r: C = nr C. the salar, s, of an emploee making $1.50 per hour, h: s = 1.50h D. the area, A, of a circle with radius r: A = nr