33. Let S(x)=x?>(5 - 7x). Find the interval over which f(x) is increasing. 34. Let (x)=x*(8-3x)....
Let f(x) = x 3 _ 3x² a) The interval(s) on which the function is increasing and the intervalls) on which the function f is decreasing B) The relative maximum value of f is and the relative minimum value of f is c) The intervalls) on which the function of is and the intervalls) on concave up which the function F is concare down D) The inflection Point(s) off
Let f(x) = 2x + 8/x +1 (a) Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. If the answer cannot be expressed as an interval, state DNE (short for does not exist). (b) Find the relative maxima and relative minima, if any. If none, state DNE. (c) Determine where the graph of the function is concave upward and where it is concave downward. If the answer cannot be expressed as an interval, use...
5. Find where the function f(x) = 2x4 - 4x?- 5 is increasing and decreasing, and find the relative extrema. 6 6. Find the absolute extrema of the function f(x) + over the interval (1,6]. I
Let f(x)=7x-8/3 and g(x)=3x+8/7. Find (f o g)(x) and (g o f)(x).
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of the critical points. b) (5 pts) Find the (x, y) coordinates of the point of inflection (point of diminishing return) c) (5 pts) Over what interval is the function increasing/decreasing and over what interval is the function concave up/concave down? Analytically test for concavity. d) (5 pts) Use the 2nd derivative test to determine (x, y) coordinates of the relative max/min.
Let f(x) = 7x+2 and g(x) = 4x - 5. Find (f+g)(x). (f-9)(x), (fg)(x), and (x). Give the domain of each. (f+9)(x) = (Simplify your answer.) (f-9)(x) = (Simplify your answer.) (fg)(x) = (Simplify your answer.) (9) - [] (simplify your answer) The domain off+g is (Type your answer in interval notation.) The domain off-gis (Type your answer in interval notation.) The domain of fg is (Type your answer in interval notation) The domain of (Type your answer in interval...
296 POLYNOMIAL FUNCTIONS 34. f(x) 4x3 -62-8+15 33. f(x) = r + 3x + 4x 12 35. f(r) r +7x2+9a 2 36. f(x) = 9r +2x +1 37 f(x) 4x4 - 4313r2- 12 3 38. f(x)2x4 -7x3 14r2-15 +6 39 f(r) x4 + x+7x 9x 18 40. f(x) 6x4 +17r3 -55r2 + 16+12 41. f(z) =-3r4 - 83-122- 12 5 42. f(x) 8a4+50343r2+2x-4 43. f(x) = x4 +9x2 +20 44. f(x) x4 +5a2-24 1 45. f(x) - r7x3-7x2 12x 12...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Find the interval(s) on which f is increasing and the interval(s) on which it is decreasing. x2 f(x) 15x? + 54x 2 = 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function f is increasing on the interval(s) and decreasing on the interval(s) (Simplify your answer. Type your answers in interval notation. Use a comma to separate answers as needed.) B. The function fis decreasing on the interval(s),...
let f(x)=3x+5 10. Let f(x) = 3x + 5. Find each of the following. 210 a. Find f(x + h) b. Find f(x + h) - f(x) 05X11E f(x+h)-f(x) c. Find h