Oct 16 - Focus Competition

Front

What is the definition of 'range' in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

What does 'domain' refer to in the context 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

How do you determine the range of a function from a graph?

Back

To determine the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches.

Front

What is the difference between domain and range?

Back

Domain refers to the input values (x-values) of a function, while range refers to the output values (y-values) of a function.

Front

What notation is commonly used to represent the domain of a function?

Back

The domain is often represented using set notation, such as {x | condition} or interval notation, such as [a, b].

Front

What does the notation -5 ≤ x ≤ 3 indicate about the domain?

Back

This notation indicates that the domain includes all x-values from -5 to 3, inclusive.

Front

How can you find the domain of a function from its graph?

Back

To find the domain from a graph, look for all the x-values that the graph covers.

Front

What is an example of a function with a restricted domain?

Back

A square root function, such as f(x) = √(x), has a restricted domain of x ≥ 0.

Front

What is the significance of identifying the domain and range of a function?

Back

Identifying the domain and range helps understand the behavior of the function and the values it can take.

Front

How can inequalities be used to describe the domain of a function?

Back

Inequalities can express the limits of the domain, indicating which x-values are included or excluded.