1. What is the natural domain of the function f(x) = 2x -1? a. All of the real numbers b. X = 0.5 c. All real numbers except x = 0.5 d. All positive real numbers 2. Suppose f(x) = x^2 + 1 (Note that ^ is the power of function; x^2 represents x squared) Whicch one of the following represents f(f(x))? a. f(f(x)) = (x^2 + 1)^2 +1 b. f(f(x)) = (x^2 +1)^2 c. f(f(x)) = x^4 + 2x^2 + 1 d. f(f(X)) = x^4 + 1 3. Consider the following unit circle. Which one of the following is FALSE? a. y 0 = sin (T) b. x 0 = cos(t) c. cos(-t) = cos(t) d. sin(-t) = sin(t) 4. The matlab command for finding the limit of an expression y as x tends to c is: >> limit(y,x,c) Matlab uses Nan to say a limit does not exist, and Inf to say a limit is infinity. The Matlab function for absolute value is abs(x); this gives IxI. a. 0 b. Inf c. NaN d. 1 5. A piecewise function f is defined by: F(x) = x + k when x is less than 1, and F(x) = 3 otherwise. What value of k makes f continuous at x =1? a. 1 b. No value of k c. 3 d. 2
