Alg Unit 3 Flashcard Review- Functions

Front

What is a function?

Back

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.

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How can you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on a graph.

Front

What does it mean for a function to be positive?

Back

A function is positive on an interval if its output values (y-values) are greater than zero for all input values (x-values) in that interval.

Front

What does it mean for a function to be negative?

Back

A function is negative on an interval if its output values (y-values) are less than zero for all input values (x-values) in that interval.

Front

What is the vertical line test?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. Examples include quadratic functions, exponential functions, and trigonometric functions.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output value is paired with exactly one input value, meaning no two different inputs produce the same output.