x | y\n-5 | 9\n1 | 0\n4 | -7\n6 | -1\nwhat is the range of the given function?\n{ x | x = -5, 1, 4, 6 }\n{ y…

x | y\n-5 | 9\n1 | 0\n4 | -7\n6 | -1\nwhat is the range of the given function?\n{ x | x = -5, 1, 4, 6 }\n{ y | y = -7, -1, 0, 9 }\n{ x | x = -7, -5, -1, 0, 1, 4, 6, 9 }\n{ y | y = -7, -5, -1, 0, 1, 4, 6, 9 }

x | y\n-5 | 9\n1 | 0\n4 | -7\n6 | -1\nwhat is the range of the given function?\n{ x | x = -5, 1, 4, 6 }\n{ y | y = -7, -1, 0, 9 }\n{ x | x = -7, -5, -1, 0, 1, 4, 6, 9 }\n{ y | y = -7, -5, -1, 0, 1, 4, 6, 9 }

Answer

Explanation:

Step1: Recall the definition of range

The range of a function is the set of all possible output values (y - values) of the function.

Step2: Identify the y - values from the table

From the table, the ordered pairs are ((-5,9)), ((1,0)), ((4, - 7)), ((6,-1)). The y - values are (9), (0), (-7), (-1).

Step3: Match with the options

We need to find the set of y - values. Let's check the options:

  • The first option is about x - values (domain), so it's incorrect.
  • The second option: ({y|y=-7, - 1,0,9}) matches the y - values we found.
  • The third option is a mix of x and y values and is incorrect.
  • The fourth option includes x - values and is incorrect.

Answer: ({y|y = - 7,-1,0,9})