Warm-Up: Domain and Range of Graphs

Front

What is the definition of RANGE in the context of a graph?

Back

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

Front

How do you determine the RANGE of a function from its graph?

Back

To determine the RANGE, identify the lowest and highest points on the graph and express the y-values between them.

Front

What is the definition of DOMAIN in the context of a graph?

Back

The DOMAIN of a graph is the set of all possible input values (x-values) that a function can accept.

Front

How do you determine the DOMAIN of a function from its graph?

Back

To determine the DOMAIN, identify the leftmost and rightmost points on the graph and express the x-values between them.

Front

What does it mean if the DOMAIN is 'All real numbers'?

Back

It means that the function can accept any real number as an input.

Front

What does it mean if the RANGE is 'y ≤ 1'?

Back

It means that the output values of the function can be any number less than or equal to 1.

Front

What is an example of a function with a limited RANGE?

Back

A function like f(x) = x^2 has a RANGE of y ≥ 0, as it only produces non-negative outputs.

Front

What is an example of a function with a limited DOMAIN?

Back

A function like f(x) = 1/x has a DOMAIN of all real numbers except x = 0.

Front

How can you express the RANGE of a function using interval notation?

Back

The RANGE can be expressed in interval notation, such as [-3, 5] for a RANGE of -3 ≤ y ≤ 5.

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 its limitations.