Functions of equations - IS IT A FUNCTION

The video tutorial explains the concept of functions, focusing on the relationship between independent and dependent variables. It provides examples to illustrate when an equation is a function, addressing common misconceptions such as the assumption of positive roots in square roots. The tutorial also offers practice examples and tips for determining if an equation is a function, emphasizing the importance of unique solutions for y given x.

What is the independent variable in the function y = f(x)?

• y

• f

• x

• None of the above

In the equation y = x^2, what is the value of y when x = 2?

• 2

• 4

• 8

• 16

Why is y = x^2 considered a function?

• It has multiple y values for each x

• It has a unique y value for each x

• It has no y values

• It is not a function

What happens when you take the square root of both sides of an equation?

• You only consider the positive root

• You only consider the negative root

• You ignore the roots

• You consider both positive and negative roots

Why is the equation y^2 = x not a function?

• It has a unique y for each x

• It has two y values for each x

• It is a function

• It has no y values

What must be true for an equation to be considered a function?

• It must have multiple y values for each x

• It must have a unique y value for each x

• It must have no y values

• It must be a quadratic equation

How do you determine if an equation is a function?

• Solve for x

• Solve for y and check for unique outputs

• Check if it is a quadratic

• Check if it is linear

What does the absolute value of y = x + 2 imply about the function?

• It has no solutions

• It is not a function

• It is a linear function

• It is a function

What is the result of solving y = -x^2 + 4 for y?

• It is a quadratic function

• It has no solutions

• It is a function

• It is not a function

What is the key step in identifying if an equation is a function?

• Checking if it is linear

• Solving for y

• Checking if it is quadratic

• Solving for x