Understanding Functions and Their Properties

The video tutorial explains the relationship between x and y, where y is always 3 more than twice x. It explores whether y is a function of x by defining a function and discussing its characteristics. The tutorial concludes that y is indeed a function of x, as each input x maps to exactly one output y.

What is the equation that describes the relationship between x and y?

• y = 3x - 2

• y = x + 3

• y = 3x + 2

• y = 2x + 3

What does it mean for y to be a function of x?

• Each x value can have multiple y values.

• Each x value corresponds to exactly one y value.

• Each y value can have multiple x values.

• There is no relationship between x and y.

If a relationship is not a function, what might happen?

• One input x will always result in the same output y.

• There will be no outputs for any input x.

• One input x could result in multiple outputs y.

• All inputs x will result in the same output y.

Which of the following is true about a function?

• A function can have no inputs.

• A function can have multiple inputs with one output.

• A function can have no outputs.

• A function can have one input with multiple outputs.

If x is 0, what is the value of y according to the function y = 3 + 2x?

• y = 3

• y = 0

• y = 2

• y = 5

If x is 1, what is the value of y according to the function y = 3 + 2x?

• y = 7

• y = 5

• y = 3

• y = 1