Question

The function f(x) is given by the set of ordered pairs. Which is true regarding the function? {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)}

a. f(-3) = 8
b. f(3) = 5
c. f(8) = 0
d. f(-6) = 10​

Answer 1

The correct statement about the function represented by the set of ordered pairs is d. f(-6) = 10, as the ordered pair (-6, 10) is present in the given set.

Step-by-step explanation:

The student has asked which statement is true regarding the function represented by the set of ordered pairs {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)}. In a function, each input value or x-coordinate is associated with exactly one output value or y-coordinate. To find the correct statement, we look for a pair where the first number is the x-value, and the second number is the associated y-value.

Examining the given options:

• f(-3) = 8 is not correct because there is no ordered pair with -3 as the x-coordinate.
• f(3) = 5 is incorrect for the same reason; there is no ordered pair with 3 as the x-coordinate.
• f(8) = 0 is also not correct since the ordered pair (8, -3) indicates that f(8) should be -3.
• f(-6) = 10 is the correct answer because the ordered pair (-6, 10) is present in the given set, meaning that when the x-value is -6, the y-value is indeed 10.

Therefore, the correct multiple-choice answer (MCQ) is: d. f(-6) = 10.