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What is the transformations occurred from #y = 8.6(1.1)^x# to #y = 9(1.1)^x#?

Answer 1

Benjamin Achtenberg

See below.

Considering

#f_1(x) = 8.6(1.1)^x#

and

#f_2(x) = 9(1.1)^x#

we can define a transformation #g# such that

#g(f_1) = f_2#

by making

#g(f) = 9/8.6f#

This can be conceived as a proportional transformation.

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Answer 2

Sophie Adams

The transformation that occurred from ( y = 8.6(1.1)^x ) to ( y = 9(1.1)^x ) is an upward vertical shift of the graph by ( 0.4 ) units.

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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.