1 / 32

UNIT 2 1.7, 4.8 Introduction to Functions

UNIT 2 1.7, 4.8 Introduction to Functions. HW: 1.7 12 – 24 m3, 26 4.8 11 – 22 function : A rule that relates two numbers called the input and output. For every input there is exactly one output. Examples. 1.7, 4.8Introduction to Functions Definitions.

gallia
Download Presentation

UNIT 2 1.7, 4.8 Introduction to Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. UNIT 21.7, 4.8 Introduction to Functions HW: 1.7 12 – 24 m3, 26 4.8 11 – 22 function: A rule that relates two numbers called the input and output. For every input there is exactly one output. Examples

  2. 1.7, 4.8Introduction to FunctionsDefinitions input: a number entered into a function. (DOMAIN) output: the result of entering a number into a function. (RANGE) domain: the collection of all input values for a function (the x-values) range: the collection of all output values for a function (the y-values and )

  3. 1.7, 4.8 Introduction to Functions Make an input-output table for the function below. Use 1, 2, 3, 4, and 5 as the domain: Domain Range

  4. 1.7, 4.8 Introduction to Functions Make an input-output table for the function below. Use 1, 2, 3, 4, and 5 as the domain: Domain Range

  5. 1.7, 4.8 Introduction to Functions Solution a. Is a function. For every ONE input there is a unique OUTPUT. Domain: Range: Solution “b” Is a NOT a function. The input {1} has two different outputs {5, 7}.

  6. 1.7, 4.8 Introduction to Functions

  7. 1.7, 4.8 Introduction to FunctionsPractice Decide whether the graph represents y as a function of x. If yes, then state the domain and range.

  8. Unit 24.3 Quick graph (x, y intercepts)4.6 Quick graph (slope-intercept) Homework (due Monday) • 4.3 15 – 54 m3 no 33 • 4.6 24 – 45 m3 • Use any method to graph. Ignore the directions. • Two lines per coordinate plane.

  9. 4.3 Quick graph (x, y intercepts)4.6 Quick graph (slope-intercept) • Which method to use depends on how the problem looks when given to you. • Use x, y intercepts • Use slope-intercept

  10. Method #2Quick graph using x, y intercepts • Make an x, y T-table • Make x = 0 and solve for y. (y – intercept) • Make y = 0 and solve for x.(x – intercept) • Plot the two intercepts and draw the line.

  11. Examples

  12. 4.6 Graphing lines using the slope and y-intercept • Slope intercept Form Slopey – intercept – starting point on the Y- axis Directions to the next point

  13. 4.6 Graphing y = mx + b

  14. Graph using any method

  15. UNIT 2 4.4 The slope of a line5.1 writing a linear equation. Homework 4.4 21 – 41 odd 5.1 12 – 22 even write all equations in Slope - intercept form and Standard form Slope Slope -intercept Standard

  16. FINDING THE SLOPE OF A LINE (x1,y1) (x1,y1) y (x2,y2) (x2,y2) (x2, y2) (x1, y1) (y2 - y1) (x2 - x1) x rise change in y = x2-x1 run change in x y2-y1 The slope m of the nonvertical line passing through the points(x1, y1) and(x2, y2)is Read y1 as “y sub one” Read x1 as “x sub one” m = =

  17. Examples

  18. Examples Find the slope of the line passing through the given points. x, y x, y

  19. 4.4 practice

  20. 5.1 Writing linear equations • Slope intercept form • Standard form • are integers • Given the slope and the y – intercept , simply substitute slope – intercept form. • Rewrite the equation into Standard form.

  21. E.g. Write in slope - intercept form 1) m = 4and b = 1 slope – intercept form standard form You will have TWO answers. 5.1 writing linear equations given slope and y - intercept

  22. 5.1 • Slope = and the y – intercept = -4 slope – intercept form standard form

  23. Unit 25.2, 5.3 writing linear equations Homework 5.2 12 – 33 m3 5.3from power point Write all equations in slope – intercept form and standard form and

  24. 5.3 homeworkGive your self 5 spaces per problem Write a linear equation in slope – intercept form and standard form.

  25. 5.2 writing linear equations given slope and a point

  26. Point – slope form E.g. Distribute slope intercept form standard form

  27. m = 2, ( 5, 15) m = 3, ( 2, -6) m = , ( -8, 4) m = -2, ( -3, 8) m = , ( 9, -1) 5.2 writing linear equations given slope and a point

  28. 5.3 writing linear equations given two points. • Step 1 • Find slope m = • Step 2 • Substitute m and one of the given points into point – slope form

  29. 5.3 writing linear equations given two points. • (5, 8), (7, 12) • (2, 4), (3, 7) • (-1, 8), (2, 2)

  30. m = 3, (1, 8) m = -1, (2, 4) m = 4, (-1, 3) m = -5, (7, -2) m = , (4, 7) m = -4, (-3, -7) m = 1, (0, -6) m = , (3, -5) Cw 5.2Write an equation of a line.

  31. Hw 5.2, 5.3 Power point Write an equation of a line. • (1,6),(4,12) • (4,2),(5,5) • (-2,4),(1,1) • (0,10),(4,2)

  32. Write a linear equation in the form y = mx + b

More Related