Question

Which of the following represents a function?

Answer 1

The image on the left represents a function. The image on the right does not as a function cannot have multiple variables for a single X quantity.

Answer 2

Answer: A

Step-by-step explanation:

• a function is the relation between the independent variable (x) and the dependent variable (y)
• the defining characteristics which differentiates a function from a relation is its input and output values
• a function can only have single input value that corresponds to a single output value, or an x value can only lead to one possible y value

• Option A Coordinates

$(-5,3)\\(-3, 1)\\(-1,-1)\\(1, -1)\\(3, 1)\\(5, 3)$

• each x value only leads to one possible y value
• therefore, option A is a function