Question

Hich of these mappings is a function? a value 5 in x corresponds to 6 in y. a value 6 in x corresponds to 2 in y and 4 in y. a value 7 in x corresponds to 8 in y. a value 8 in x corresponds to 4 in y. w. a value 5 in x corresponds to 2 in y. a value 6 in x corresponds to 8 in y. a value 7 in x corresponds to 6 in y. a value 8 in x corresponds to 4 in y. x. a value 5 in x corresponds to 4 in y. a value 6 in x corresponds to 2 and 6 in y. a value 7 in x corresponds to 8 in y. a value 8 in x corresponds to 6 in y. y. a value 5 in x corresponds to 8 in y. a value 6 in x corresponds to 6 in y. a value 7 in x corresponds to 2 and 8 in y. a value 8 in x corresponds to 4 in y. z. a. w b. x c. y d. z

Answer 1

A function requires that for every input value, there is exactly one output value. Mappings w and z have this property, making them functions, while mappings x and y do not and thus are not functions.

Step-by-step explanation:

To determine which of these mappings is a function, we must recall that in a function for each input value (x) there is exactly one output value (y). Let's examine the given mappings:

• Mapping w: Each x value has a unique y value, so this could be a function.
• Mapping x: The value 6 in x corresponds to 2 and 6 in y, which violates the definition of a function. Therefore, this is not a function.
• Mapping y: The value 7 in x corresponds to 2 and 8 in y, which means one input corresponds to two different outputs. This is not a function.
• Mapping z: Each x value is paired with exactly one y value, which suggests that this mapping is indeed a function.

Based on the above analysis, the mappings that are functions are option w and option z.