Les. 1.1 - Key Features of Functions assignment

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

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that can be used in the function.

Front

What does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.

Front

How do you express the interval -9 < x ≤ -4 in interval notation?

Back

(-9, -4]

Front

What is the significance of the y-values in a graph?

Back

The y-values represent the output of the function for corresponding x-values.

Front

How do you determine the range from a graph?

Back

The range is determined by reading the graph from the lowest point to the highest point, typically from bottom to top.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the y-values also increase.

Front

Identify the interval where the function is increasing: (-1, ∞) or (-∞, -1)?

Back

The function is increasing on the interval (-1, ∞).

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints (e.g., (a, b)), while closed intervals do include their endpoints (e.g., [a, b]).

Front

What does the notation (a, b) mean?

Back

The notation (a, b) represents an open interval where 'a' and 'b' are not included.