Last Name (BLOCK LETTERS): First Name: Student #: MATH 121 - TEST #1 Thursday Oct 8, 2015 Units 1, 2, 3 Instructions: Write your name and student number on this page. READ EACH QUESTION CAREFULLY. Show all of your work for full marks. Include units in your answers wherever possible. Do not start the test until instructed to do so by your proctor. 2 of 4 STUDENT NUMBER: 1. Let f (x) = 1 8x2 . 4x2 + 5x (a) What is the domain of f (x)? Support your answer with a brief explanation or a calculation. (b) For what values of x is f (x) = 0? (c) Does the limit lim f (x) exist, and if so what is the limit value? Support your answer with a brief x explanation or a calculation. 2 3 of 4 STUDENT NUMBER: 2. Consider the graph of the function g(t) shown below. g(t) t 0 1 2 3 4 For each of the following pairs of numbers, use the graph to decide which is larger. For each comparison, give the specific feature of the graph that you used to arrive at your answer. (a) f (2) vs. f (4). (b) f (4) f (2) f (2) f (0) vs. . 20 42 (c) f 0 (2) vs f 0 (4). 4 of 4 STUDENT NUMBER: 3. Consider the graph of a trigonometric function shown below. g(t) 5 4 3 2 1 t 2 1 2 3 4 5 2 3 2 2 5 2 3 (a) What are the period and amplitude of the oscillations in this graph? (b) Find a sine-based formula for this graph. (c) Find a cosine-based formula for this graph. 7 2 4