Which of the following transformations will change the range of exponential functions? a Vertical Compression b Vertical Shift c Horizontal Shift d None of the above

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ecarcamo2001 ecarcamo2001

27-04-2020
Mathematics

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Which of the following transformations will change the range of exponential functions? a Vertical Compression b Vertical Shift c Horizontal Shift d None of the above

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jajumonac jajumonac · Answer 1 · 2020-05-03T02:42:31+02:00

Answer:

B. Vertical Shift.

Step-by-step explanation:

Remember that the range is the set value that defined the dependent variable of a function, which is represents with Y.

So, all transformations about vertical shifts, it would represent a change to the range set of the exponential fuction.

For example, let's say that we have the function [tex]f(x)=2^{x}[/tex], which domain is all real numbers and which range is all real numbers greater than zero.

Now, let's say we transform that function to [tex]g(x)=2^{x}+6[/tex], which is the same function but shifted up 6 units.

Notice that the function [tex]g(x)[/tex] has the same domain -all real numbers- but different range, because it's defined by all real numbers greater than 6.

Therefore, the transformation that can change the range of a function is B. Vertical Shift.