2.4 Features of Function Graphs

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function intersects the y-axis. It is represented as (0, y).

Front

How do you identify where a function is negative?

Back

A function is negative where its output values (y) are less than zero. This can be found by analyzing the graph or solving inequalities.

Front

What does it mean for a function to be positive?

Back

A function is positive where its output values (y) are greater than zero. This can be determined by examining the graph or solving inequalities.

Front

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

Back

The x-intercepts are the points where the graph intersects the x-axis, indicating the values of x for which the function equals zero.

Front

How can you determine the intervals where a function is increasing?

Back

A function is increasing on intervals where the slope of the graph is positive, meaning as x increases, y also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on intervals where the slope of the graph is negative, meaning as x increases, y decreases.

Front

What is a local maximum?

Back

A local maximum is a point on the graph of a function where the function value is higher than all nearby points.

Front

What is a local minimum?

Back

A local minimum is a point on the graph of a function where the function value is lower than all nearby points.

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.