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1) Find the limit if it exists. x? - 7x+10 *+5 r + x - 30 a) lim tan x b) lim c) lim tan x In x x 0 2. Let f(x) = x° -18x' +4. a) Find the intervals on which f is increasing or decreasing, b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from...
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2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
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...
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...
200 In Exercises 12 and 13, find (a) domain, (b) x-intercept and y-intercept, (c) lim f(x), lim f(x), lim f(x) or lim f(x) (if possible), where a is point of discontinuity , (d) Interval of increasing and decreasing, (e) interval of concave up and down, (f) show all extreme and inflection points, and (g) sketch the graph. 12. f(x) = 1 13. f(x) = In()
1. (30 pts.) Given that. (.r) = Determine 22-1 (a) The domain and intercepts of f. (b) Asymptotes off. (c) The intervals where f is increasing and where f is decreasing, (d) Local minimum and maximum values off. (e) Intervals where f is concave up and where f is concave down, (S) Inflection point off, (9) Sketch the graph of f. (You have to show all steps clearly otherwise you won't be awarded any credit)
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2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
X-2 3 of 9 5.(12 pts) let f(x) = ******. Graph the function and use it to find lim f(x) and lim f(x). Does lim f(x) exist? Find domain and range of f(x). 2 that are to the line - 4x + y = 5.
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1. Let f(x) = *** a) Find f-'(x), if it exits b) show that f(--(x)) = x c) Sketch NEAT graphs of both functions below, labeling their intercepts, asymptotes etc. y = f(x) y = f'(x) d) Write the intervals of the functions below Domain of f(x) Domain off-(x) Range of f(x) Range of f-'(x)
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...