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how to draw inverse functions? (1 Viewer)

malcolm21

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i dont know where to start the line, from the right side or left side so i get it reversed sometimes
 

malcolm21

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starts from the bottom left and goes upwards in the shape but sometimes the curve starts from the right and goes up, i dont know where to start it
 

leehuan

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That is not a technical way of putting it....

However

If you look at the basic curves, y=sin^-1(x) and y=tan^-1(x) are increasing
y=cos^-1(x) is decreasing

Obviously if you chuck a negative sign in front of either it goes the other way around.
 

InteGrand

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starts from the bottom left and goes upwards in the shape but sometimes the curve starts from the right and goes up, i dont know where to start it
That would only start from the right if there was a minus sign in front of the 2 (or equivalently, inside the brackets, since the inverse sine function is an odd function).

Using our knowledge of how to sketch related graphs from a known graph, we sketch the given function by:

• first sketching

• then dilating it horizontally by a factor of 3 to get the graph of

• then stretching our graph of horizontally by a factor of 2 to get the graph of .

(Nowhere in this process was our graph flipped in any way, so its orientation is the same as the graph of .

Also, you should get a few key points down (the endpoints and the 'middle' of the graph) with a table of values to assist the sketching.
 

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