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Suppose f(x) = ax^2 + b. (a) State the domain and range of f. (b) Show algebraically that f is not a one-to-one function. (c) How can you restrict the domain such that f is a one-to-one function? (d) Find f-1 for the above function in the restricted domain.

give an example of an increasing function whose domain is the interval [0,1] but whose range does not equal the interval [f(0), f(1)].