Inverse of a negative square root function

The video tutorial covers function notation, solving for Y, and understanding function inverses. It emphasizes the importance of order of operations and explores graph transformations. The tutorial also discusses the need for constraints when dealing with inverse functions and negative values.

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

• Multiply by -1

• Solve for X

• Swap X and Y

• Replace F(x) with Y

Why is it important to determine if a function is one-to-one?

• To determine the range

• To ensure the function has an inverse

• To simplify the function

• To find the domain

What transformation is applied to the square root function in the video?

• Reflect over the X-axis and shift left one

• Reflect over the Y-axis and shift right one

• Shift up two units

• Shift down two units

What is the result of squaring both sides of the equation?

• A linear function

• A constant function

• A quadratic function

• A cubic function

Why do we only consider the negative option of X^2 - 1?

• To include all possible values

• Because the function was multiplied by negative

• To simplify the calculation

• To ensure the function is one-to-one