the function f(x) is given by the set of ordered pairs. { (1,0), (-10,2), (0,6), (3,17), (-2,-1) } which…

the function f(x) is given by the set of ordered pairs. { (1,0), (-10,2), (0,6), (3,17), (-2,-1) } which equation is true? o f(-10)=1 o f(2)= - 10 o f(0)=6 o f(1)= - 10

the function f(x) is given by the set of ordered pairs. { (1,0), (-10,2), (0,6), (3,17), (-2,-1) } which equation is true? o f(-10)=1 o f(2)= - 10 o f(0)=6 o f(1)= - 10

Answer

Explanation:

Step1: Recall function - value definition

For a function defined by ordered - pairs ((x,y)), (f(x)=y).

Step2: Analyze each option

  • For (f(-10)): In the set of ordered pairs ({(1,0),(-10,2),(0,6),(3,17),(-2,-1)}), when (x = - 10), (y = 2), so (f(-10)=2\neq1).
  • For (f(2)): There is no ordered - pair with (x = 2) in the given set, so (f(2)) is not defined as (-10).
  • For (f(0)): In the set of ordered pairs, when (x = 0), (y = 6), so (f(0)=6).
  • For (f(1)): In the set of ordered pairs, when (x = 1), (y = 0), so (f(1)=0\neq - 10).

Answer:

(f(0)=6)