Question

find range of f(x)=(x-2)/(2-x)

Answer 1

Note that your f(x)=(x-2)/(2-x) is equivalent to\[f(x)=-(x-2)/(x-2)\]

Does that tell you anything about the domain and range of this function?

Answer 2

so....-1 is the answer?

Answer 3

@mathmale ..-1 is the answer?

Answer 4

\[f(x)=-(x-2)/(x-2)=-1\] is true. But is -1 the answer? No.

What are you asked to do in this problem?

Answer 5

to find the range..

Answer 6

means value of f(x)

Answer 7

hmm....yess...it is -1..:)

Answer 8

thanks for the hint

Answer 9

Actually, the "range" of a function is the set of all POSSIBLE function values (outcomes).

Does it seem reasonable to say that the range of this function is just {-1}?

Answer 10

yes...giving any value to x gives us -1

Answer 11

Nice work! Take care!