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How are the graphs #f(x)=x^3# and #g(x)=-(3x)^3# related?

Answer 1

Cora Alexander

Graph of #g(x)# is the transformation of the graph of #f(x)#

The graph of #f(x)# is:

while of #g(x)# is graphed

We can see the #g(x)# is #f(x)# after a reflection on the #y#-axis and a horizontal compression by a factor of #1/3#

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Answer 2

Anna Allen

The graphs of ( f(x) = x^3 ) and ( g(x) = -(3x)^3 ) are related by a reflection about the y-axis and a horizontal compression by a factor of 1/3. This means that ( g(x) ) is a horizontally compressed and reflected version of ( f(x) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.