what is the range of the given function? {(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)} \\bigcirc \\{x\\mid x…
what is the range of the given function? {(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)} \\bigcirc \\{x\\mid x = -5, -4, -2, 0, 2\\} \\bigcirc \\{y\\mid y = -9, -3, 0, 5, 7\\} \\bigcirc \\{x\\mid x = -9, -5, -4, -3, -2, 0, 2, 5, 7\\} \\bigcirc \\{y\\mid y = -9, -5, -4, -3, -2, 0, 2, 5, 7\\}
Answer
Explanation:
Step1: Recall the definition of range
The range of a function (given as a set of ordered pairs) is the set of all the second elements (y - values) of the ordered pairs.
Step2: Identify the y - values from the ordered pairs
The ordered pairs are ((-2,0)), ((-4,-3)), ((2,-9)), ((0,5)), ((-5,7)). The y - values (second elements) are (0), (-3), (-9), (5), (7).
Step3: List the y - values in order
When we list these y - values in order, we get (-9), (-3), (0), (5), (7). The range is represented as ({y|y = - 9,-3,0,5,7}).