Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to work with the concepts of the domain and range of a function and how to identify them from their graphs.

Q1:

The domain of the function is .

Q2:

Find the domain and the range of the function 𝑓 ( 𝑥 ) = ( 𝑥 + 1 ) − 2 2 .

Q3:

Determine the domain and the range of the function represented in the shown figure.

Q4:

Determine the range of the following function.

Q5:

Find the domain and range of the function 𝑓 ( 𝑥 ) = − 1 𝑥 − 5 .

Q6:

Determine the domain of the following function.

Q7:

Determine the domain of the function in the given figure.

Q8:

Determine the domain and the range of the function 𝑓 ( 𝑥 ) = − 4 .

Q9:

Determine the domain and the range of the function represented by the shown graph.

Q10:

Find the domain and the range of the function 𝑓 ( 𝑥 ) = ( 𝑥 − 1 ) 3 in ℝ .

Q11:

Determine the domain of the function represented by the following graph.

Q12:

The figure below shows the graph of a function .

What is the domain of the function?

Q13:

Find the domain and the range of the function 𝑓 ( 𝑥 ) = 2 ( 𝑥 + 7 ) − 1 2 .

Q14:

Q15: