Question

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? f(-10) = 1 f(2) = -10 f(0) = 6 f(1) = -10

Explanation:

Step1: Recall function notation

For a function \( f(x) \) given by ordered pairs \( (x, y) \), \( f(x)=y \) means when the input is \( x \), the output is \( y \).

Step2: Check each option

• For \( f(-10) \): The ordered pair with \( x = -10 \) is \( (-10, 2) \), so \( f(-10)=2

eq1 \).

• For \( f(2) \): There is no ordered pair with \( x = 2 \) in the given set, and also the ordered pair with \( y = - 10 \) doesn't exist here, so \( f(2)

eq - 10 \).

• For \( f(0) \): The ordered pair with \( x = 0 \) is \( (0, 6) \), so \( f(0) = 6 \).
• For \( f(1) \): The ordered pair with \( x = 1 \) is \( (1, 0) \), so \( f(1)=0

eq - 10 \).

Answer:

\( f(0) = 6 \) (the option corresponding to \( f(0)=6 \))