Analyze Function Graphs

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.

Front

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

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

Front

What is a relative minimum?

Back

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

Front

What is a relative maximum?

Back

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

Front

How do you find f(x) for a given x?

Back

To find f(x), substitute the value of x into the function's equation and simplify.

Front

What is the significance of the x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, indicating where f(x) = 0.

Front

What is the significance of the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of f(0).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, f(x) decreases.

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.