Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the input values (x) increase, the output values (f(x)) also increase.

Front

What does it mean for a function to be negative?

Back

A function is negative when its output values (f(x)) are less than zero for certain input values (x).

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values (x) increase, the output values (f(x)) decrease.

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

If f(2) = 4, how can this be represented as an ordered pair?

Back

This can be represented as the ordered pair (2, 4).

Front

What does h(4) = 5 signify in the context of a plant's height?

Back

It signifies that after 4 weeks, the height of the plant is 5 inches.

Front

How do you determine where a function is increasing on a graph?

Back

A function is increasing on a graph where the slope of the tangent line is positive.

Front

How do you determine where a function is decreasing on a graph?

Back

A function is decreasing on a graph where the slope of the tangent line is negative.

Front

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

Back

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