Range of a function

The  exercise appears under the Algebra I Math Mission. This exercise connects the range of a function with it's rule.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the range of the function: This problem has a function that is written in a rule form. The student is asked to use the rule to find the range of the function and then make then use the manipulative to describe the correct range.Roaf1.png

Strategies
Knowledge of function vocabulary and terminology is encouraged to perform this exercise accurately and efficiently.
 * 1) The range of a function is the set of values the function can take on as outputs (other term, codomain).
 * 2) The problems on this exercise seem to be exclusive parabolas.
 * 3) Parabolas open upward if the leading coefficient is positive, otherwise they open downward. In the first case the answer is greater than the y-intercept, in the second it is lesser than.
 * 4) The "or equal to" part of the inequality will be included if the separate value for the function occurs at any number except x=0. If it is occurs at x=0, then the inequality is proper.

Real-life Applications

 * 1) The range of a function assists in constructing models to represent real-life situations. For example, a model for the area can only take on positive values, so it needs to be above the x-axis when it is graphed.