Pre-calculus Chapter 1 Test



Mrs.Volynskaya Pre-calculus Quarterly Test Name_____________________

SHOW ALL WORK! BOX YOUR ANSWER!

1. A rancher has 800 feet of fencing to enclose 4 adjacent rectangular corrals. Find the maximum possible enclosed area to the nearest square foot ________________

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2. Determine whether the function is even, odd, or neither. Explain why!

2a[pic] 2b. [pic] 2c[pic] ____________

3. Use the graph of the function f to complete the table and sketch the graph of [pic]

|x |[pic] |

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[pic]

4. Determine  the  intervals  over which  the  function  is  increasing,  decreasing,  or

 constant

[pic]__________________________________________________________

5. Does the table describe a function?_____________________________________________

|Input value |a |b |c |a |d |

|Output value |-8 |-1 |0 |1 |8 |

6. Sketch the piecewise-defined function. [pic]

[pic]

7. Find the inverse of the function [pic] and indicate the domain and range of the inverse function _____________________

8. Given [pic]_______________________________________________

9. The AT company has found that the revenue from sales of heavy-duty tractors is a function of the unit price [pic] that it charges. The revenue [pic] is

[pic]

What unit price [pic]should be charged to maximize revenue? What is the maximum revenue?

_____________________________________________________________________________

[pic] ______________________________________________

Use the graphs of f and g to evaluate the functions.

[pic][pic]

11. [pic]=

12. Evaluate the function at each specified value of the independent variable and simplify

[pic] (a) [pic]_____ (b) [pic]______ (c) [pic]_________

13.

[pic]________________

14. State the domain for each of the following functions:

a) [pic]_______b) [pic] _______ c) [pic]__________

15. Find the equation of the line that passes through point (2,4) and perpendicular to the line [pic] ________

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