Question
Let $A=\{-2,-1,0,1,2\}$ and $f: A \rightarrow I$ given by $f(x)=x^{2}-2 x-3$. Find range of $f$. Also find preimages of $6,-3$ and 5. \{Ans. $f(A)=\{-4,-3,0,5\} ;$ no pre-image of $6 ; 0$ and 2 are pre-images of $-3 ;-2$ is the pre-image of 5$\}$
Step 1
The range of a function is the set of all possible output values (y-values) that we get after applying the function to the elements of the domain. In this case, the domain is the set $A=\{-2,-1,0,1,2\}$. So, we apply the function $f(x)=x^{2}-2 x-3$ to each element Show more…
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