Week 16 Long Flashcard FUNCTIONS /FUNCTION NOTATIONS

Front

What is a function in mathematics?

Back

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

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function for a given input x.

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 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

How do you find the x-intercepts of a function?

Back

To find the x-intercepts, set the output (y) to zero and solve for x.

Front

What is a relative maximum in a graph?

Back

A relative maximum is a point on the graph where the function value is higher than the values of the function at nearby points.

Front

What is a relative minimum in a graph?

Back

A relative minimum is a point on the graph where the function value is lower than the values of the function at nearby points.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.