the function f(x) is given by the set of ordered pairs. {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)} which…

the function f(x) is given by the set of ordered pairs. {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)} which is true regarding the function? f(-3)=8 f(3)=5 f(8)=0 f(-6)=10

the function f(x) is given by the set of ordered pairs. {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)} which is true regarding the function? f(-3)=8 f(3)=5 f(8)=0 f(-6)=10

Answer

Explanation:

Step1: Recall function - ordered - pair concept

In a function given as a set of ordered pairs ((x,y)), (y = f(x)). That is, for an ordered pair ((a,b)), when (x=a), (f(a)=b).

Step2: Analyze each option

  • For (f(-3) = 8): In the set of ordered pairs ({(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}), when (x = - 3), there is no ordered - pair with (x=-3), so (f(-3)) is not defined as 8.
  • For (f(3)=5): There is no ordered - pair with (x = 3) in the set ({(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}), so (f(3)) is not defined as 5.
  • For (f(8)=0): In the set ({(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}), when (x = 8), (y=-3), so (f(8)=-3\neq0).
  • For (f(-6)=10): In the set ({(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}), when (x=-6), (y = 10), so (f(-6)=10).

Answer:

D. (f(-6)=10)