. Graphing Strategy Step 1 Analyze f() (i) Find the domain of f. (i) Find the intercepts. (i) Fin...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
Show all of your work in an organized manner. Circle your answers. You may not use a TI-89 graphing calculator on this test. If a function is given as y=..., then you may not use y'= ... or y" = ... 1) Use the graph of f(x) to answer the following questions: (5,6) (2, 2) a) Identify all intervals on which f(x) is increasing. b) Identify all intervals on which f(x) is decreasing. c) Find the x-coordinate for all local...
For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of y= f(x) is f(_______ ) = _______ (Type integers or simplified fractions.) B. There is no absolute maximum for y = f(x). For the graph of a function y = f(x) shown...
Please work out step-by-step* Use the second derivative test to find the relative maxima and minima of the given tunction. 11) f(x) = x4-3227 Find all vertical and horizontal asymptotes of the graph of the given function. 6x-9 12) f(x) T+ 2 Diagrams indicating intervals of increase or decrease and concavity are given. Identify a possible graph for a function with these characteristies. 13) Sign of f (x) +++++ Sign off "(x) ++ + ++t + ++ 0 brmhtiscom dEca0...
just step 3 and 4 X-1 II. For f(x) find: x+3 Step 1: Analyze f(x) 4. Domain 5. X-intercepts and y-intercepts (use calculator to approximate value. Round to two decimal places) 6. vertical and horizontal asymptotes (if exist) Step 2 Analyze f'(x) 6. critical points 7. intervals on which f(x) is increasing 8. intervals on which f(x) is decreasing 9. minimum, if exist 10. maximum, if exist Step 3 Analyze f"(x) 4. concavity upward 5. concavity downward 6. point(s) of...
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x) = + 2x-15 ² Summarize the pertinent information obtained by analyzing f(x). O A. f(x) is decreasing on (-00, 0) and (0, 15) and increasing on (15,..). O B. f(x) is increasing on (-00, 0) and (15, 0o) and decreasing on (0.15). OC. f) is decreasing on (-0, 0) and (15,00) and increasing on (0, 15). OD. f(x) is increasing on (-0,0) and (0,...
Use the graph of F'(x) to answer questions about the function F(x). The domain of F(x) is (-00, ). This is the graph of F'(x). 12 4 8 14 18 (a) Find the critical values for F(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x= (b) Give the intervals where F(x) is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (c) Give the intervals where...
A Guide to Curve Sketching 1. Determine the domain of f. 2. Find the x- and y-intercepts off.* 3. Determine the behavior of f for large absolute values of x. 4. Find all horizontal and vertical asymptotes of the graph of f. 5. Determine the intervals where f is increasing and where f is decreasing, 6. Find the relative extrema of f. 7. Determine the concavity of the graph of f. 8. Find the inflection points of f. 9. Plot...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x25 y= x2-64 intercept (x, y)- relative minimum (x, y)- relative maximum (x, y) point of inflection (x, y)- Find the equations of the asymptotes. (smaller x-value) (larger x-value) (horizontal asymptote) Use a graphing utility to verify your results. O 1/8 points Previous Answers LarCalc9 3.6.009. Analyze and sketch a graph of the function....
2. Consider the function f(x) = ln (x+4) [6-6+8-16 marks] Note: f'()1")*** 3(4-2) a) On which intervals is f(x) increasing or decreasing b) On which intervals is f(x) concave up or down? c) Sketch the graph of f(x) below Label any intercepts, asymptotes, relative minima, relative maxima and infection points