Exam 1 (1.3, 1.6 - 1.8, 2.1) Name MTH 161-PRACTICE!! READ EACH PROBLEM CAREFULLY!! 1. Determine if each relation defines y as a function of x. Yes/No a. {(-4,3), (-2, -3), (1,4), (1,-5), (4,3)} b. Hero.com U 2. Determine if each function is even, odd, or neither. a. f(x) = -4Vx + x b. f (x) = v4 - x2 3. Find the domain of each function. Express your final answer using interval notation. a. f (x) = = 2x3-5x-12 b. g(x) = v5 - 2x Page 1 of 5 This study source was downloaded by 100000833160035 from CourseHero.com on 09-29-2021 14:22:40 GMT -05:00 Mtips:/www.counchero.com/file/107939368/Exam-1-Reviewpdf/4. Use the graph of y = f (x) to graph the transformation y = -f(2x) - 3. Indicate the transformed coordinates of the given key points. of om shared via Coufox This study Page 2 of 5 This study source was downloaded by 100000633160035 from CourseHero.com on 09-29-2021 14:22:40 GMT -95:00 Mtips:/www.counchero.com/file/107939368/Exam-1-Reviewpdf/5. Use the graph of y = f (x) to answer parts (a) - (m). Where applicable, use interval notation. .com el a. What is the domain of f? b. What is the range of f? c. The x-intercept(s) ud d. The y-intercept e. f(-3) = S via f. On which interval(s) is f constant? g. On which interval(s) is f increasing? h. On which interval(s) is f decreasing? i. For what number(s) does f have a relative j. State the relative minimum value(s). minimum? k. For what number(s) does f have a relative 1. State the relative maximum value(S). maximum? m. The value(s) of x for which f (x) = 2. Page 3 of 5 This study source was downloaded by 100000833 160035 from CourseHero.com on 09-29-2021 14:22:40 GMT -95:00 Mtips:/www.counthero.com/file/107939368/Exam-1-Reviewpdf/6. Let f (x) = -x2 - 2x + 5, g(x) = 2x - 8, and h(x) = vx + 5 a. Find and simplify the difference quotient /(x+h)-f(x) h b. Find and simplify (f - h) (4). c. Find (") (x) and its domain. d. Find (g - g) (x). e. Find (g . f)(-1). 3-x, x51 7. Let f (x) = (2x - 1, x > 1 a. Find f (3). b. Find f (1). C. Sketch the graph of f. d. Is the function continuous? was om c Page 4 of 5 This study source was downloaded by 100000633160035 from CourseHero.com on 09-29-2021 14:22:40 GMT -05:00 Mtips://www.coursehero.com/file/107939368/Exam-1-Reviewpdf/8. Given the quadratic function f (x) = 2x2 + 12x - 2, a. Complete the square to write the equation in vertex form: f(x) = a(x - h)> + k. b. Determine whether the parabola opens upward or downward. c. State the coordinates of the vertex. d. Determine the x-intercept(s). Find exact values. e. Determine the y-intercept. f. State the equation of the axis of symmetry. n g. Determine the minimum or maximum value of the function. as CO h. The function's range is 9. A long jumper leaves the ground at an angle of 209 above the horizontal, at a speed of 1 1 m/sec. The height of the jumper can be modeled by h(x) = -0.046x- + 0.364x, where h(x) is the jumper's height in meters and x is the horizontal distance from the point of launch. O e a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. b. What is the maximum height of the long jumper? Round to 2 decimal places. C. What is the length of the jump? Round to 1 decimal place. This s red shar Page 5 of 5 This study source was downloaded by 100000633160035 from CourseHero.com on 09-29-2021 14:22:40 GMT -95:00 Mtips:/www.counchero.com/file/107939368/Exam-1-Reviewpdf/