Find the domain and range using the inverse of the square root function

The video tutorial covers inverse functions, focusing on finding the domain and range without using the inverse. It explains the algebraic process of finding inverses, including swapping variables and reversing operations. The tutorial also discusses graphing inverses, reflecting over the y=x line, and using restrictions to find the correct inverse. The session concludes with a Q&A to clarify concepts and address common mistakes.

What is the domain of the transformed square root function described in the introduction?

• From 0 to Infinity

• From 1 to Infinity

• From -Infinity to 0

• From -1 to Infinity

What is the first step in finding the inverse of a function algebraically?

• Swap the x and y variables

• Add 1 to both sides

• Graph the function

• Reflect over the y=x line

When graphing an inverse, what line should the function and its inverse be reflected over?

• y = x

• x = y

• x = 0

• y = 0

What is the domain of a quadratic function?

• From 1 to Infinity

• From -Infinity to 0

• From 0 to Infinity

• All real numbers

Why might you need to restrict the domain of an inverse function?

• To match the original function's range

• To simplify calculations

• To ensure the inverse is a function

• To make it easier to graph

What does the negative sign in front of a square root function indicate?

• A reflection over the x-axis

• A reflection over the y-axis

• A shift to the right

• A shift upwards

In interval notation, how should the domain be represented?

• From right to left

• From top to bottom

• From left to right

• From bottom to top