Relations, Functions, Linear Equations and Slope Flashcard Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function because each input has a unique output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

Which ordered pair would prevent the relation from being a function: (10, 10), (2, 4), (6, 1), (-2, 0)?

Back

(-2, 0) would prevent it from being a function because it repeats an x-value.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if at least one input (x-value) is associated with more than one output (y-value).