Graphing multiplied functions can be tricky but, the good thing is that there are lots of ways to approach it! This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Further, Work with Functions.
Now will learn to examine the relationship between the graphs of y= f(x) and y= g(x) and the graphs y= f(x)g(x). Our top tips for multiplying graphs include:
- Considering the polarity of both graphs at a point (are they negative or positive, remember – x – = + and – x+ = -)
- Look at the magnitude of both graphs at important points – are the y values large or fractions? This will help you understand how far or close equations are to the x-axis
- Check for zeros! Zero multiplied by anything is zero!
Now let’s explore these techniques through the following videos!