Math 1500: An Alternate Way to make Sign Diagrams

Published: Mon, 01/12/15

Did you read my tips on how to study and learn Math 1500?  If not, here is a link to those important suggestions:
Don't have my book or audio?  You can download a free sample of my book and audio lectures containing Lessons 1 and  2:
An alternate way to make Sign Diagrams
Many students have trouble understanding my steps for making a sign diagram in Lesson 1.  Here is an easier method to remember (although it is slower for most students, it is perfectly adequate for this stage of the course). 
  • Once you have found the Top and Bottom Zeros and marked them on the number line, pick a number from each region and substitute it into the entire function.  The sign of your answer will be the sign of that region. 
  • For example, if you have marked the numbers 1 and 4 on the number line, choose a number less than 1 (such as 0) to sub into the function to find the sign of that region, choose a number between 1 and 4 (such as 2) to sub into the function to find the sign of that region, and choose a number greater than 4 (such as 5) to sub into the function to find the sign of that region. 
  • Make sure you sub the number in place of every x in the function to establish the sign of the function in that region.