Question

THIS IS DUE TODAY AND I NEED HELP 95 points: What is the domain and range of the relation shown in the table? x2 -1 4 -3 y 0 4 2 0
domain: {−3,−1,2,4} , range: {0,2,4}
domain: {0,2,4}
, range: {−3,−1,2,4}
domain: {x|x∈R}
, range: {0,2,4}
domain: {−3,−1,2,4}
, range: {y|y∈R}

Answer 1

Answer: The correct option is first option.

Explanation:

It is given that the values of x are 2,-1,4,-3 and the values of y are 0,4,2,0.

The domain of a function is the set of all possible inputs or all values of x for which the function is defined.

From the given information it is clear that the value of x are 2,-1,4 and -3.

So the domain of the function is,

Domain = { -3, -1, 2, 4 }

The range of a function is the set of all possible outputs or all values of y at different values of x.

From the given information it is clear that the value of y are 0, 4, 2 and 0. Since 0 occurs two times, therefore we will consider the element 0 only one time because repetition of elements are not allowed in a set.

So the range of the function is,

Range = { 0, 2, 4 }

Therefore, the first option is correct.