Investigation

Linear and Quadratic Functions

In Math 10C, the focus was on linear functions and relations. What are the similarities and differences between linear functions and quadratic functions? Examine the two functions below, and write down some similarities and differences between them. Use the table to summarize your findings.


Function
Linear Function
Quadratic Function
Equation
\(f(x) = x \)
\(g(x) = x^2 \)
Graph
\(x\)-intercept


\(y\)-intercept


 Domain    
 Range    
 General Shape
   
 Symmetry    
 Distinguishing
Characteristics