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General concept of the inverse of a function and how the domain of the function may need to be restricted (in order to obtain a one-to-one functions) to ensure that the inverse is a function.
Determine the sketch graphs of the inverses of the functions defined by \(y = ax + q\) \(y=ax^2\) \(y=b^x\) \((b > 0; b \ne 1)\)
Focus on the following characteristics:
domain and range
intercepts with the axes
turning points
minima
maxima
asymptotes (horizontal and vertical)
shape and symmetry
average gradient (average rate of change)
intervals on which the function increases/decreases
Learn the concepts:
Revising the basics
Sometimes we forget the basics, like, what is a function really? And how do we move it around the Cartesian plane? These videos will help to remind you of all of these things. If you need more of a reminder, check out the Grade 11 section.
Your uneasy feeling is only because you've been doing 'normal' functions for 2 - 3 years now. Inverse functions are an interesting twist. If you do lots of practice, the uneasy feeling will go away.