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Function Definition: A function f(x) is one-to-one if it does not assign the same value to two different elements of its domain.

- If f(x) is a 1-1 function, then it has an inverse function f^-1defined by f^-1(y)=x if f(x)=y, for all y in the range of f. - The domain of f^-1is the range of f, and the range of f^-1is the domain of f. - To find a formula for f^-1, we can set y = f(x), solve for x in terms of y, and set f^-1(y) = x.

Question 1: Which the functions f(x), g(x) and h(x) is a one-to-one function? Circle the correct choice

f(x) = -x⁵ g(x) = 2x² h(x) = |x|

1. g(x) is a one-to-one function
2. f(x) is a one-to-one function
3. f(x) and g(x) are one-to-one functions
4. h(x) is a one-to-one function

Questions 2-3: If