Question

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

Answer 1

B. Vertical Shift.

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
`f(x)=2^(x)`, 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
`g(x)=2^(x)+6`, which is the same function but shifted up 6 units.

Notice that the function
`g(x)` 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.