Questions for Trackstar #73155- What is a Function?
USE THE FOLLOWING URL'S (WEB ADDRESSES) TO ANSWER THE QUESTIONS.
§ http://www.coolmath.com/func1.htm
§ http://id.mind.net/~zona/mmts/functionInstitute/definitionOfFunction/definitionOfFunction.html
§ http://id.mind.net/~zona/mmts/functionInstitute/whatIsFOfX/whatIsFOfX.html
§ http://www.coolmath.com/func2.htm
§ http://www.coolmath.com/graphit
1. What is the Rule in the example Function Boxes?
2. Why does the "2001" movie not work for the given rule?
3. What do we call the "input" box?
4. What do we call the "output" box?
5. Look at the last function box "square root x".
What type of number can be in the
domain?
Scroll down to where it says:
DOMAIN=INPUT NUMBERS=x
RANGE=OUTPUT NUMBERS=y
6. Is everything with an equals sign a function?
7. Why is "Case 1" a function?
What special name is given to this function?
Look at Case 2:
8. Why is this equation a function?
What special name is given to this function?
Look at Case 3:
9. Why is this equation NOT a function? What is its special name?
DO NOT press the "back" button, go on to the next link "What is f(x)".
Look at the box containing f(x).
10. What does f stand for?
11. Could I use any other letter besides f? Why? Could I use a number?
12. What does x stand for?
13. Do you think I could use any other letter/number here? Why?
14. What does f(x) mean?
Read about the Vertical Line Test.
15. Is the parabola a function? Why?
16. Is the ellipse a function? Why?
17. Is a vertical line a function?
Please read all the instructions before continuing.
You will put the following equations in the window at the top of the calculator.
You can enter the equation using the calculator keys or the keyboard. Use either
"PlotF" or "enter" to draw the graph. Use "cls" to clear the graph and "clear" to erase
the equation.
Sketch the following graphs on your paper and determine whether they are functions
or not.
18. 3x+1
19. x^2-5
20. cos(x)
21. tan(x+3)
22. asin(x-2)+3
In the following examples plot the two equations on the same graph.
Are the combinations of the graphs functions?
23. sqrt (9-x^2) and -sqrt (9-x^2)
24. sqrt (x^2-4) and -sqrt (x^2-4)
25. x^3 and ln (x-4)
