1. Vertical Line Test of Functionality Symmetry of a Function Using the Calculator to Evaluate Graphs 2.2 The Graph of a Function

2. Recall - Function – A relation in which each value of the independent variable corresponds to exactly one value of the dependent variable On a graph, what does it look like if a particular value of the independent variable has more than one value for the dependent variable?

3. The Vertical Line Test of Functionality If a vertical line drawn anywhere over the graph of a relation intersects the relation at exactly one point, the relation is a function. Fail Pass - Function

4. Is it a function? YES Domain Range

5. Is it a function? YES Domain Range

6. What are the x-intercepts?

7. What is the y-intercept? Can a function have more than one y-intercept?

8. Find f(-4)

9. Find f(1)

10. Is f(0) positive or negative? negative

11. Is f(-3) positive or negative? negative

12. For what numbers x is f(x)>0?

13. For what numbers x is f(x)<0?

14. For what values of x does f(x)=-2?

15. Symmetric about the y-axis The function is a reflection of itself about the line x = 0.

16. Symmetric about the origin If the graph is rotated 180⁰ about the origin, it will look the same as the original picture.

17. Calculator The function C represents the cost (in dollars) per passenger of a flight on a Boeing 747 across the Atlantic Ocean (3000 miles) with an airspeed of 500 mph as a function of the number of passengers, x, traveling. Graph the function in your calculator and find a “good” viewing window.

18. Calculator

19. What is the cost per person for 100 passengers? Press “2nd”, “TRACE” (CALC), “1” (value) 100 passengers would cost $470 each

20. What is the cost per person for 145 passengers? $362.78

21. The airline wants to run a special and charge only $350 per person for the flight. How many seats do they have to sell to cover their costs? “Graph” “2nd Trace” “5” (intersect) “ENTER” “ENTER” “ENTER”

22. p. 75 # 2 - 9, 11 - 21 odd, 29, 37 - 38 Assignment