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 - notation meaning

In a function given as a set of ordered - pairs ((x,y)), (f(x)=y). That is, for an ordered pair ((a,b)) in the set representing the function, when the input is (a), the output is (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)}), there is no pair with (x=-3), so (f(-3)) is not defined as 8.
  • For (f(3)=5): There is no pair with (x = 3) in the given set of ordered pairs, so (f(3)) is not defined as 5.
  • For (f(8)=0): In the pair ((8,-3)), when (x = 8), (y=-3), so (f(8)=-3\neq0).
  • For (f(-6)=10): In the pair ((-6,10)), when (x=-6), (y = 10), so (f(-6)=10).

Answer:

(f(-6)=10)