The function f is defined as follows. -x+3 if x< 1 f(x) = 4х - 2 if x21 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on its domain? (a) The domain of the function f is (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts. (c) Choose the correct graph below. O A. В. С. D. 10- 10- 10- 10 -10 10 10 10 -10 10 -10– -10] -10– L10] (d) The range of the function f is (Type your answer in interval notation.) of

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.