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1 . Let g (x ) = V8 + x . a. Find the linear approximation to g at x = 0. (6 pts ) b. Use the linear approximation you found to approximate 1 8. 09 (4 pts ) . Consider h(x) = x + 2x with domain [0. 5, 3]. Find the absolute maximum and absolute minimum of h(x). (8 pts) x 2 3. Let f (x) = x - 1 Note - simplifying each derivative below as much as you can will make subsequent steps much easier. a. Compute f. (4 pts ) b. Compute f". (4 pts ) c. Where is f increasing and where is f decreasing? ( 4 pts ) d. Where is f concave up and Where is f concave down? ( 4 pts) .Give the coordinates of any local maximums and minimums of f. ( 2 pts f. Determine the end behavior (the limits at infinity) for this function. (4 pts)