AlgebraGuidedPresentationNotesUnit4FunctionsandtheirGraphs (2).pdf - Functions and Their Graphs What you will learn CA Algebra Standard 7.0 Verify that

AlgebraGuidedPresentationNotesUnit4FunctionsandtheirGraphs (2).pdf

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Functions and Their Graphs What you will learn: CA Algebra Standard 7.0: Verify that a point lies on a _______. CA Algebra Standard 16.0: Understand the concepts of a relation and a _______________, determine whether a given relation defines a function, and give pertinent information about given relations and functions. CA Algebra Standard 18.0: Determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a ________________ and justify the conclusion.
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59 Graphing on the Coordinate Plane . Two number lines that intersect at right angles form a _______________________ ________________. The horizontal axis is the ____________ and the vertical axis is the _______________. The axes intersect at the ______________ and divide the coordinate plane into four sections called _______________________. Example 1: Graphing Points : An ordered pair of numbers identifies the location of a point on the graph. These numbers are the _______________________ of a point on the graph. Plot the ordered pair: ( 2,4) The x coordinate tells you how far to move to the __________or ___________, The y coordinate tells you how far to move ________or _____________. Let’s plot some more points: A (-1, -3) B (3, 0) C (4, -3) D (0, 2) √ Understanding Check: Graph the points on the coordinate plane. A (2, 4) B ( 1, 4) C (3, 2) D (4, 3½) E (0, 2) F (-3, 0) G ( -2, -1) H ( -4, 5)
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60 Example 2: Identifying Coordinates √ Understanding Check: Name the coordinates of the Name the coordinates of each points in the graph below? point in the graph below. E K A L H B G F I C D J A ______ B _______ G ______ H _______ C ______ D _______ I ______ J _______ E ______ F _______ K ______ L _______ Example 3: Predicting the Quadrant From the Signs In which quadrant is each point located? Use Roman Numerals! a. ( 5, 8) b. ( -7, 10) c. ( 14, -2) d. ( -100, -30) ______ ______ ______ ______ √ Understanding Check: In which quadrant is each point located? Use Roman Numerals! 1. (-3, 6) 2. (-7, -4) 3. (8, 12) 4. (1, -4) ______ ______ ______ ______ 5. (2, -4) 6. (7, 3) 7. (-1, 2) 8. (-6, -5) ______ ______ ______ ______
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61 Relations and Functions . A _____________ is a set of ordered pairs. A relation can be shown in a variety of ways. Below a relation is shown as a table, list, graph, and mapping diagram. Giraffe Heights _________ _________ _________ _________ _________ The domain of a relation is the set of the _______________________. The range of relation is the set of the __________________________. Giraffe Heights domain range 6 5 4 3 2 1 0 0 2 4 6 8 10 12 14 16 18 20 22 A relation that has only ____________ value in the range for each x-value in the domain is called a __________________. Is the relation above a function? _______ Why or why not? ______________________________________________________ ______________________________________________________ Example 1: Identifying a Function Given a Table domain range Find the domain and range of the relation. Is the relation a function? Earning Money Hours of Work 3 5 8 9 Amount Earned $27 $45 $72 $81 Domain: _________________________ Range: ___________________________ Is this relation a function? ________ Age (years) 17 16 20 12 16 Height (meters) 4.0 4.5 5.5 5.0 6.0
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62 √ Understanding Check: Find the domain and range of each relation. Is each relation a function?
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  • Fall '16
  • SANDRA MARSH

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