Question

The function f(x) is given by the set of ordered pairs.

Answer 1

Answer:  the correct option is (C) f(0) = 6.

Step-by-step explanation:  We are given the function f(x) by the following set of ordered pairs :

{(1,0), (-10,2), (0,6), (3,17), (-2,-1)} .

We are to select the TRUE equation.

We know that

in the ordered pairs, the first element stands for the independent variable x and the second element stands for the dependent variable f(x).

So, the equations that comes from the given ordered pairs are

$f(1)=0,~~f(-10)=2,~~f(0)=6,~~f(3)=17,~~f(-2)=-1.$

Thus, the only true equation is f(0) = 6.

Option (C) is CORRECT.

Answer 2

Answer: f(0) = 6.

Explanation:

Ther ordered pairs are: (x,y) or (x, f(x) )

So, (1,0) means that f(1) = 0 which denies the fourth choice.

(-10,2) means that f(-10) = 2 which denies the first choice

(0,6) means that f(0) = 6, which is the third choice. So, that is the true equation.