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Functions and their Graphs

Learn about functions and graph rules with examples and step-by-step instructions. Explore how to graph relations and equations in two variables. Practice various functions on this website.

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Functions and their Graphs

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  1. Functions and their Graphs

  2. Instructions: Look at the input value and determine what rule applies to get the output value.

  3. Rule : add 5, n+5

  4. RULE: multiply by 3,3n or 3 • nGood job. Keep going.

  5. Rule: multiply by 10, 10 • n or 10n

  6. Rule: subtract 2 or n - 2

  7. Rule: Subtract 8, or n - 8

  8. Rule: multiply by 10; 10 • n, or 10n

  9. Try more examples on this website: http://www.studyzone.org/testprep/math4/d/functiontable4l.cfm

  10. A Relation can be represented by a set of orderedpairs of the form (x,y) Quadrant I X>0, y>0 Quadrant II X<0, y>0 Origin (0,0) Quadrant IV X>0, y<0 Quadrant III X<0, y<0

  11. Graphing Relations • To graph the relation in the previous example: • Write as ordered pairs (-3,3), (1,-2), (1,1), (4,4) • Plot the points

  12. (4,4) (-3,3) (1,1) (1,-2)

  13. Same with the points (-3,3), (1,1), (3,1), (4,-2)

  14. (-3,3) (1,1) (3,1) (4,-2)

  15. Graphing an equation in 2 variables • Construct a table of values • Graph enough solutions to recognize a pattern • Connect the points with a line or curve

  16. Graph: y = x + 1 Step 3: Step2: Step 1 Table of values y

  17. Decide if the function is linear. Then evaluate for x = -2 • f(x) = -x2 – 3x + 5 • Not linear…. • f(-2) = -(-2)2 – 3(-2) + 5 • f(-2) = 7 • g(x) = 2x + 6 • Is linear because x is to the first power • g(-2) = 2(-2) + 6 • g(-2) = 2 • The domain for both is….. • All reals

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