1. For each of the follwoing function: i Find the intervals on which the function is...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
Sketch the graph of f(x)= (x^2)/(x^2-1), stating all relative extreme points, intervals of increasing and decreasing, intervals of concave up and concave down, inflection points, and asymptotes.
> Question 11 A Guide to Curve Sketching 1. Determine the domain off. 2. Find the x- and y-intercepts of f.* 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 off. 7. Determine the concavity of the graph of f. 8. Find the inflection points of f....
Use the steps below to sketch the graph y = x^2 - 7x - 18. Required points are the x intercepts and the max and mix of the graph 1. Determine the domain of f. 2. Find the x- and y-intercepts of f.† 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....
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
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....
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
Please Show ALL Work 111. Use the guidelines to sketch the curve. 1. Find the domain 11. Find Intercepts Symmetry (Even or Odd Function) iv. Asymptotes V. Increasing/Decreasing Intervals vi. Local Extrema Concavity and Inflection Points viii. Sketch the Graph with all above information vii. b) y = 15-5%
4) Identify the following key features/properties using intervals only: intervals when the function is positive/negative, intervals when the function is increasing/decreasing, intervals when the slope of the function is positive/negative, and intervals when the slope of the function is increasing/decreasing do the questions.) All calculations must be performed using exact values (fractions and radicals) cm Part A - Knowledge/Understanding and Application, Making Connections 1) Sketch the rational function f(x) hand: domain, intercepts, asymptotes, and behavior near the asymptotes. You would...