Problem 1.        Worksheet 7:   TSFs and Graphical Representations III

Construct a tangent slope function that corresponds to this pattern of bump points.

tsf(x) = ________________________________________________________________________

Expand tsf(x) into standard form: tsf(x) =______________________________________________
 
 
 
 
 

Find a function f(x) that has this tangent slope function: f(x)= ______________________________
 
 
 

Determine the end behavior of f: ____________________________________________________

Find any x-intercepts of f: _________________________________________________________
 
 
 
 

Sketch the graph of f, find all bump coordinates, and make sure that all the information found above is correct.