Q. Find the range of the function defined by the set of points below. Express your answer as a set of numbers.(−4,9),(4,−3),(7,5),(5,−3),(6,0)Answer:
Identify y-values: To find the range of the function, we need to look at the y-values of the given points, as the range consists of all possible y-values that the function can take.
Find smallest & largest: The given points are (−4,9), (4,−3), (7,5), (5,−3), (6,0). The y-values from these points are 9, −3, 5, −3, and (4,−3)0.
Determine the range: We need to identify the smallest and largest y-values to determine the range. The smallest y-value is −3 and the largest y-value is 9.
Express as a set: The range of the function is all y-values from −3 to 9, inclusive. Therefore, the range can be expressed as the set of numbers from −3 to 9.
Check for all values: Expressing the range as a set, we get the set {−3,0,5,9}. However, we need to check if we have included all the y-values between the smallest and largest y-values.