We will revisit the world of Calculus today, but don't worry--it's only temporary. We have already looked at several different concepts surrounding functions and their properties. Today we will look at how to determine their maximum and/or minimum values, as well as their ranges. This concept appeared 7 times last year, with a median placement at question # 77.
Please Like our Facebook Page (https://www.facebook.com/numberdojo/) if you want to see new posts on your wall. I will reward you with a free concept index or flashcard file of your choice. Thank you!
Number Dojo Level: TBD
The range of a function consists of the possible set of outputs (or y values) based on the given inputs. The maximum value of a function is the largest possible value of y, and the minimum value of a function is the smallest possible value of y.
How to Solve:
To find the maximum or minimum value of a function:
Example 1: The range of the function y = |2x| - 3 is y ≥ ___
- By definition, we know that the absolute value of anything has to be greater than 0.
- Replace |2x| with 0, and we are left with y = 0 - 3, which is -3. This is our answer.