#078 One-to-One Functions

Which of the following is true for all one-to-one functions?

• Each input can have multiple outputs.
• All outputs are the same for different inputs.
• They are not functions

• They follow the definition of a function.

What is the primary characteristic of a one-to-one function?

• Each output can have multiple inputs.
• All inputs are mapped to the same output.
• Some inputs may not have any output.
• Each input has a unique output.

Which of the following functions is one-one?

• f(x) = x^2
• f(x) = [| x|]

• f(x) = |x|

• f(x) = x^3

For a function to be one-to-one, how many points should a horizontal line intersect with on its graph?

• At most one point
• Three points
• Any number of points

• Two points

What is the main reason we care about identifying one-to-one functions?

• To simplify complex functions.
• To increase the range of the function.
• To ensure the existence of an inverse function.
• To graph them more easily

When can we find the inverse of a function that's not one-to-one?

• Never

• We can find the inverse by applying a linear transformation to the function.
• We can find the inverse by restricting its domain to make it one-to-one.

• The inverse can always be found regardless of the function's properties.