MATH 1A Midterm: MATH 1A Harvard 1a Midterm1 2004 Spring
Document Summary
Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the college. 1: (12 points) find the following: (i) log3 243 (ii) log2. 2: (12 points) let f (x) = p4 3x2. Find the domain and range of f . 3: (20 points) depicted is the graph of a function f . Draw the graphs of the following functions, labeling the endpoints of the domain as well as the maximum and minimum points. (i) g(x) = f (x + 1) 3 (ii) h(x) = f (x) + 2. 3 (v) m(x) = f (5x) 6. 4: (21 points) de ne (a) find the following: (i) lim x 0+ f (x) f (x) = x + 4 (x 2)2.
