Learn how to find the domain and range of a quadratic by finding inverse

The video tutorial explains how to determine the domain and range of a function, emphasizing the absence of restrictions like division by zero or square roots of negative numbers. It then guides through finding the inverse of a function by swapping variables and solving for y, highlighting the importance of considering both positive and negative square roots. Finally, it discusses how the domain of the inverse function informs the range of the original function.

What is the domain of a function if there are no variables in the denominator or under even roots?

• Zero to One

• Negative Infinity to Zero

• Negative Infinity to Infinity

• Zero to Infinity

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

• Replace F of X with Y

• Introduce the square root

• Swap X and Y

• Solve for X

When introducing the square root while finding an inverse, what must you remember?

• Ignore the roots

• Both positive and negative roots

• Only the negative root

• Only the positive root

How do you determine the domain of the inverse function?

• Set the expression under the radical not equal to zero

• Set the expression under the radical equal to zero

• Set the expression under the radical greater than or equal to zero

• Set the expression under the radical less than zero

What does the domain of the inverse function tell us about the original function?

• It tells us nothing about the original function

• It tells us the inverse of the original function

• It tells us the range of the original function

• It tells us the domain of the original function