1. If fand g are both even functions, is the product fg even? If f and g both odd functions, is fg odd? What if f is even and g is odd? Justify your answers. (10 points) Find the domain g(x) =-. (10 points) 2. of the composited function fog, where f(x)=x+ and x +1 x+2 3. Let ifx <1 g(x) = x-3 ifx 2 Evaluate each of the following, if it exists. (10 points) lim g(x) lim gx)(i) lim g(r) (iv) lim g(x)(vlimg(x) 4. Evaluate the limit lim cos, ifit exists. (10 points) 5. Use the Intermediate Value Theorem to show that there is a root of the given equationx-3-0in the specified interval ofa2). (10 points) 6. If xytee, find the value of y'at the point when x 0 (10 points) 7. Find f(x)andf"(x),wheref(x)=(x' + 2xe(5 points) 8. Evaluate the integrale')ds (Spoints) 1/2
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