1.2A Mathematical Models: A Catalog of Essential Functions

HINT: Create a table

A mathematical model is never a completely ______ representation of a physical situation—it is an _____.

(a)  

What does the above image illustrate?

(a)  

An empirical model is based entirely on _____ _____.

(a)  

The domain of a polynomial is:

(a)  

Find the domain and range of the function: f(x)= 2x-3

*In your response label the domain an range as indicated in the example below:

domain = (0,0)

range = all real numbers

(a)  

 $Find\ the\ domain\ and\ range\ of:C(w)=w^2+4$  
*In your response label the domain an range as indicated in the example below:
domain = all real numbers
range = [0,5)

(a)  

 $Find\ the\ domain\ and\ range\ of\ T\left(h\right)\ =\ h^3+1$ 

*In your response label the domain an range as indicated in the example below:
domain = (3,7)
range = [0,5)

(a)  

The pictured graph is a function.