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

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 $f(x)=2^{x}$, 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.