Identifying FunctionsDomain of a FunctionCombining Functions

Determine whether the equation defines y as a function of x.

310 yx

44 22 yx

Is the following graph the graph of a function?

Is the following graph the graph of a function?

Is the following graph the graph of a function?

Determine the indicated values of the function

)2(.1 f

656)( 2 xxxf

)2(.2 f

)1(.3 xf

)(.4 xf

Determine the indicated values of the function h shown in the graph

)1(.1 h

)2(.2 h

)2(.3 h

)0(.4 h

Domain Questions

1. Does the function have a denominator?

2. Does the function have a square or even root?

3. Does the function have a log or ln in it?

4. Did the function arise from finding an inverse?

5. Is this a “real world” problem?

Find the domain of the function:

19611

)( 2

xx

xh

Find the domain of the function:

xxf 55.67)(

Find the domain of the function:

48)( 2 xxg

Find the domain of the function:

174)( xxk

Given the functions and find each of the following:

515

)(

x

xf

98

)(

x

xg

))(( xgf

))(( xgf

))(( xfg

)(xgf

Given the functions and find each of each of the following:

96)( xxf23)( xxg

)2)(( gf

)2)(( fg

Given the functions and find each of the following:

xxf

1)(

67)( xxg

))(( xgf

))(( xfg

))(( xff