Relations and Functions Mini-Flashcard

Front

Which relation is NOT a function? Options: {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}

Back

Answer: {(1,-5), (-1,6), (1,5), (6,-3)} - A function cannot have two different outputs for the same input.

Front

A relation where each x value has exactly one y value is a: Options: range, inequality, function, equation

Back

Answer: function - A function is defined as a relation where each input (x) has a unique output (y).

Front

Is the following a Function? Explain: (You may need to click on the picture to see it better) Options: Yes; Each input has exactly one output., Yes; At least one input has more than one output., No; Each input has exactly one output., No; At least one input has more than one output.

Back

Answer: Yes; Each input has exactly one output.

Front

Is this a function? Options: Yes, No

Back

Answer: No - A function must have only one output for each input.

Front

Is this mapping a function or not a function? Options: Function, Not a Function

Back

Answer: Not a Function - A mapping is not a function if at least one input has multiple outputs.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

Define domain in the context of functions.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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Define range in the context of functions.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.