Flashcard - Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value, there is a unique output value.

Front

What is the output of the function machine if the input is x = -5?

Back

26

Front

What is the output of the function machine if the input is x = 5?

Back

20

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input is paired with exactly one output.

Front

What is the vertical line test?

Back

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

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every x-coordinate has exactly one corresponding y-coordinate.

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. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.