Question

Which of the following shows y as a function of x?

A. {(3, 5), (4, 6), (5, 7), (6, 8), (4, 9)}
B. {(1, 5), (2, 5), (3, 5), (4, 5), (2, 6)}
C. {(1, 5), (1, 6), (1, 7), (1, 8), (1, 9)}
D. {(-1, 6), (0, -3), (2, 8), (4, 8), (7, 5)}

Answer 1

Option D represents y as a function of x because each x-value has a unique y-value.

Step-by-step explanation:

To determine which of the given options shows y as a function of x, we need to check if each option has a unique y-value for each x-value. A function is defined as a relation where every input has one and only one output. Option A {(3, 5), (4, 6), (5, 7), (6, 8), (4, 9)} does not represent y as a function of x because it has two different y-values for x=4. Option B {(1, 5), (2, 5), (3, 5), (4, 5), (2, 6)} also does not represent y as a function of x because it has two different y-values for x=2. Option C {(1, 5), (1, 6), (1, 7), (1, 8), (1, 9)} does not represent y as a function of x because it has the same x-value with different y-values. Option D {(-1, 6), (0, -3), (2, 8), (4, 8), (7, 5)} represents y as a function of x because each x-value has a unique y-value. Therefore, the correct answer is option D.