Eliminate the parameter to obtain the reciprocal function

The video tutorial explains the concept of curves when set to Y equals and demonstrates solving for X and T in equations. It covers substituting values into another equation and describes the resulting curve as exponential. The tutorial further explains the reciprocal function and hyperbola, cautioning the use of the term 'function'.

What is the first step in solving for T in terms of X?

• Add 1 to both sides of the equation

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 1 from both sides of the equation

After substituting T into the equation, what does y equal?

• y = X + 1

• y = 1 / (X - 1)

• y = X - 1

• y = 1 / X

How would you describe the curve y = 1 / X?

• Linear

• Quadratic

• Reciprocal

• Exponential

What type of curve is y = 1 / X also known as?

• Hyperbola

• Ellipse

• Circle

• Parabola

Why should one be cautious with the term 'function' in this context?

• Because it may not always represent a single output for each input

• Because it is not a mathematical term

• Because it can be confused with a linear function

• Because it is not applicable to curves