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

AlgebraGuidedPresentationNotesUnit4FunctionsandtheirGraphs (2).pdf

• Notes
• 27

This preview shows page 1 - 6 out of 27 pages.

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.

Subscribe to view the full document.

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)
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) ______ ______ ______ ______

Subscribe to view the full document.

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
62 √ Understanding Check: Find the domain and range of each relation. Is each relation a function?

Subscribe to view the full document.

• Fall '16
• SANDRA MARSH

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask You can ask ( soon) You can ask (will expire )
Answers in as fast as 15 minutes