# Sample Chapter (first two LO's)

## Function and Function Notations

### Learning Objectives:

• Distinguish between functions and relations

• Evaluate functions at given values

• Solve for inputs of functions from given outputs

• Find values of functions graphically

• Apply the vertical line test

• Determine if functions are one-to-one graphically or algebraically

• Evaluate functions at variable inputs

• Use technology to graph given functions or relations

• Solve applications involving functions

• Identify and graph constant functions f(x)=bf left parenthesis x right parenthesis equals b

• Identify and graph the identity function f(x)=xf left parenthesis x right parenthesis equals x

• Identify and graph the absolute value function f(x)=|x|f left parenthesis x right parenthesis equals open vertical bar x close vertical bar

• Identify and graph the square function f(x)=x2f left parenthesis x right parenthesis equals x squared

• Identify and graph the cube function f(x)=x3f left parenthesis x right parenthesis equals x cubed

• Identify and graph the reciprocal function f(x)=1xf left parenthesis x right parenthesis equals 1 over x

• Identify and graph the square root function f(x)=√xf left parenthesis x right parenthesis equals square root of x

• Identify and graph the cube root function f(x)=3√x

For users of OpenStax College Algebra by Jay Abramson, Lead Author:

This covers Section 3.1 and read pages 160-179.