HSC Together Year 11 Maths Extension: Graphing Multiplied Functions

#### Maths Extension

• Further Work with Functions
• Polynomials
• Inverse Trigonometric Functions
• Further Trigonometric Identities
• Rates of Change
• Working with Combinatorics
• Back to other subjects
Back to other subjects

# Graphing Multiplied Functions

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!

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