Lesson 3.4 "GO" questions

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (f(x)) decreases.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (f(x)) also increases.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y) that the function can produce.

Front

How do you determine if a function is increasing or decreasing from a graph?

Back

If the graph moves upwards as you move from left to right, the function is increasing. If it moves downwards, the function is decreasing.

Front

What is the notation for an interval that includes its endpoints?

Back

The notation is called 'closed interval' and is represented with square brackets, e.g., [a, b].

Front

What is the notation for an interval that does not include its endpoints?

Back

The notation is called 'open interval' and is represented with parentheses, e.g., (a, b).

Front

Back

This means the function can take any value greater than -1/2 and up to and including 3.

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval includes its endpoints, while an open interval does not.

Front

If a function is constant, what can be said about its rate of change?

Back

If a function is constant, its rate of change is 0.

Front

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

Back

The y-intercept is the point where the function crosses the y-axis, indicating the output value when the input is zero.