Find the domain of the function defined by the set of points below. Express your answer as a set of numbers.(−5,5),(−3,0),(4,−2),(8,−10),(−1,−2),(−2,10),(0,10)Answer:
Q. Find the domain of the function defined by the set of points below. Express your answer as a set of numbers.(−5,5),(−3,0),(4,−2),(8,−10),(−1,−2),(−2,10),(0,10)Answer:
Identify Domain: The domain of a function is the set of all possible input values (x-values) for which the function is defined. To find the domain of the function represented by the given set of points, we need to list all the unique x-values from the set of points.
Extract X-Values: The given set of points is (−5,5), (−3,0), (4,−2), (8,−10), (−1,−2), (−2,10), (0,10). Extracting the x-values from these points, we get: −5, −3, 4, (−3,00, (−3,01, (−3,02, (−3,03.
Check for Duplicates: We need to ensure that there are no duplicates in the list of x-values since each x-value represents a possible input to the function. Checking the list, we see that all x-values are unique.
Express Domain: Now, we can express the domain as a set of these x-values. The domain of the function is {−5,−3,−2,−1,0,4,8}.