Question

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?\
\bigcirc\\ f(-3) = 8\
\bigcirc\\ f(3) = 5\
\bigcirc\\ f(8) = 0\
\bigcirc\\ f(-6) = 10

Explanation:

Step1: Recall function notation

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

Step2: Analyze each option

• Option 1: \( f(-3) = 8 \). The ordered pairs are \( (8, -3),(0, 4),(1, -5),(2, -1),(-6, 10) \). There is no pair with \( x=-3 \), so this is false.
• Option 2: \( f(3) = 5 \). There is no ordered pair with \( x = 3 \), so this is false.
• Option 3: \( f(8)=0 \). The ordered pair with \( x = 8 \) is \( (8, -3) \), so \( f(8)=-3

eq0 \), this is false.

• Option 4: \( f(-6)=10 \). The ordered pair is \( (-6, 10) \), so by function notation, \( f(-6) = 10 \), this is true.

Answer:

D. \( f(-6) = 10 \)