can someone Describe in detail how you would teach a new student to generate an algebraic representation of a piecewise function from a given graphical representation.

In order to teach a new student to generate an algebraic representation of a piece wise function from a given graphical representation is by explaining the rules and the characteristics of the shapes. It is important to list each reason and make it easier for the teacher to understand about it.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: