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X-2 3 of 9 5.(12 pts) let f(x) = ******. Graph the function and use it...
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...
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 work 1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g. 1.Let g(x)...
Problem 2. (12 pts) The graph of a function fis given below. Answer the questions that follow. 110 6 2- 5 -6- - X-2 (i) (6 pts) Find the following limits. If a limit is infinite or does not exist, specify so. (Ipt each) a) lim f(x) = b) lim f(x)= c) limf(x) = d) lim f(x) = e) lim f(x) = g) limf(x) = (2 pts) Does f have any asymptote(s)? If yes, what kind? Write their equations. (iii)...
A quadratic function f is given. flx) = -x2. 4x 3 (a) Express f in transformation form. f(x) (b) Find the vertex and x and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y) vertex (x, y) (smaller x-value) x-intercepts (x, y) (larger x-value) (x, y) yintercept (c) Sketch a graph of f. Tools Actions Clear Al 1. Select an object from the Tools menu to the left. Delato 2. Enter coordinates in Object Properties below,...
1/A/Consider the following.:f(x) = x2 − 4x − 1 Complete the table. (Round your answers to four decimal places.) x 0.9 0.99 0.999 1 1.001 1.01 1.1 f(x) ? Use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places. If an answer does not exist, enter DNE.) lim x→1 (x2 − 4x − 1) = ? Can you please explain in clear details,step by...
For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). O A. 1;3 OB. 1; does not exist OC. 1:1 OD. Does not exist does not exist For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). X2 10 -10-8 -4.53 12 4 6 8 10
Use the graph to find the following imits. 6- a. lim f(x)b. lim f(x) x-3 4 2 a. Find f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes lim x→-3 in your choice. -4 -2 OA. f(x)= lim (Type an integer.) O B. The limit does not exist. b. Find lim f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes x→-1 in...
i need help in drawing this graph. 3. Draw a curve that satisfies the following conditions: lim f(x) = 5; · ·f(2) does not exist; . f'(5) does not exist; . f'() <0 on 5 < < 9; . f'(x) 0 on 2<<5 and 9< ·f"(x) < 0 on x < 2 and 2 < x < 3; ·f"(z) > 0 on 3 < z < 5 and 5 < z; 10 5 10 84 2 2 468 10 y...
The function f is defined as follows. f(x)- 4x-3 if x21 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on its domain? The function f is defined as follows. f(x)- 4x-3 if x21 (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (e) Is f continuous on...