Question

X |-3|0|3|6

f(x)| 1 |7|13|19
Does the table represent a function? How do you know?
A) Yes, because each input has a unique output.
B) No, because the outputs are not in a consistent pattern.
C) Yes, because the inputs are all positive.
D) No, because there are negative inputs.

Answer 1

Yes, because each input has a unique output. Option (A) is true.

Explanation:

The concept used in the given context is the concept of a function in mathematics.

A function is a relation between a set of inputs and a set of possible outputs, where each input is related to exactly one output.

In the context of the given table, the inputs (-3, 0, 3, 6) are each associated with a unique output (1, 7, 13, 19), satisfying the definition of a function.

The table represents a function if each input has a unique output.

Let's analyze the given table to determine if it represents a function:

The inputs are -3, 0, 3, and 6.

The corresponding outputs are 1, 7, 13, and 19.

Analysis:

The inputs have unique outputs, and there is no repetition in the outputs for the given inputs.

Therefore, the table represents a function.

Thus, Option (A) is true.