Pre Calculus2017-2018

Chapter 1 Study Guide - Precak9l%

In addition to the oh 1 review in the textbook, try

the following practice problems :

Part 1 : functions + transformations1 Sketch the graph of each function and describe

the transformation of the parent function .

a) flxt - (× - 4)3+6 c) hlx )=E×+2* remember asymptote G) !b) glx)= - tzlxt 41-8 d) klxtx.tt it

2 State the domain and range for each function

Above.

Know both notations : interval and set.

ex : [ 5. x ) X >- 5

Part 2 : Properties of Functions

Sketch a single function with ALL of the following

properties :

- -

- bounded below - global min @ X= 3- increasing on 13,5)

-

constant on to ,D - jump discontinuity at X=O

Part 3 : Function Operations

Perform the indicated operation . Show all work !

flxtxt g(x)=l*D2 hlxtfxtla) tog)(3) d) ( gohkx)

b) (go HKD e) ( fo f) ( w )c) ( f of o g) (2) f) ( fig - h) (9)

Are the functions f and g (about inverses ? Explain .

Part 4 : Misc . Stuff you should always Know

1 A 10 - foot ladder is resting against a wall,

8 feet

from the ground .

How far from the wall is the

base of the ladder ? Draw an image t label .

2 Find the Volume of an unsharpened # 2 pencil .

Show your process .

3 Which band / group has sold the most singles

of all time?

4 When is Joe Herzog's birthday?

5 When is all QI work due? Why ?