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Unit 5

Unit 5. Section 5.4 Functions and Relations. Function. To determine if a graph is a function, we perform the vertical line test . . PASS. -- Yes, it is a function. FAIL. -- No, it is not a function. Function. Vertical Line Test: 1.Draw a vertical line through the graph.

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Unit 5

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  1. Unit 5 Section 5.4 Functions and Relations

  2. Function To determine if a graph is a function, we perform the vertical line test. PASS -- Yes, it is a function. FAIL -- No, it is not a function.

  3. Function Vertical Line Test: 1.Draw a vertical line through the graph. 2. See how many times the vertical line intersects the graph. 3. Only Once – Pass (function) More than Once – Fail (not function)

  4. Is this graph a function? Function Only crosses at one point. PASS Yes, this is a function because it passes the vertical line test.

  5. Is this graph a function? Function Crosses at more than one point. FAIL No, this is not a function because it does not pass the vertical line test.

  6. Is this graph a function? Function Only crosses at one point. PASS Yes, this is a function because it passes the vertical line test.

  7. Function To determine if a table is a function, we look at the x column (domain). If each number in the x column appears only once in that column, it is a function.

  8. Function Is this relation a function? Every number just appears once. Yes, this is a function because each number in the x column only appears once.

  9. Function Is this relation a function? The number 10 appears more than once. No, this is not a function because 10 appears in the x column more than once.

  10. Function Is this relation a function? Every number just appears once. Yes, this is a function because each number in the x column only appears once.

  11. Function Is this relation a function? The number 2 appears more than once. No, this is not a function because 2 appears in the x column more than once.

  12. Function Notation The number inside the parenthesis is the number you’re going to substitute. f (x) means function of x.

  13. Use the function y = 0.15 x + 3, to find f (0). Substitute 0 for x.

  14. Use the function y = 0.15 x + 3, to find f (– 1). Substitute – 1 for x.

  15. Use the function y = 0.15 x + 3, to find f (2). Substitute 2 for x.

  16. Homework Complete problems # 99 – 123 for homework.

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