2. 8 pts Use the following information to sketch a possible graph of f . Include...
8) (8 pts total) For this problem, you will sketch a graph of f(x) = 2x4 + 8x3. Complete the following steps: (a) (1 pt) Determine the intercepts of the function. (b) (3 pts) Use the first derivative to find the intervals on which f increases and decreases, and the relative maximums and minimums. (c) (3 pts) Use the second derivative to find the intervals on which f is concave up and concave down, and the inflection points. (d) (1...
s. Use the given graph of y f(x to sketch a possible graph of y - f'(x) and y-f"(x) (0,0) -1 6. Use the graph of y f'(x) to sketch a possible graph of y f(x) -2 31 I -2 s. Use the given graph of y f(x to sketch a possible graph of y - f'(x) and y-f"(x) (0,0) -1 6. Use the graph of y f'(x) to sketch a possible graph of y f(x) -2 31 I -2
7) Sketch a graph of a function that has the following properties: lig, f(x)--2 linn,f(x) = 2 f(3)-1 lino f(x) = 1 /(0)--1 x-3 8) Use a table of values to estimate the limit. Include in your table all of the values of t that you use and the results, but feel free to use a calculator for the arithmetic. Make sure to state your conclusion. a) lim 5-1 t t→0 b) lim 7) Sketch a graph of a function...
2. Use the information in the charts to answer the following questions and sketch the graph of the function f(x) a) List all the critical points (both coordinates) and classify them as max, min, or neither b) List all the inflection points - ND + + ND - 0 + S. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to...
Given that f(x) is continuous on (-0,00), use the information below to sketch the graph off. f() OND+++++++ O +++ 0 x-1 0 ffx) 2 3 1 2 3 3 5 4 hoose the correct graph below OA ОВ. Ос. OD Af) AF) 1 a A) a © © Click to select y nswer
please include steps and a sketch of the graph if you can! <3 9. Use the method of cylindrical shells to find the volume of the solid that results when the region bounded by y = 2/x , x = 4, and y = 0 is revolved around the y-axis.
3x + 6, if x so (8 pts) 5. Sketch the graph of f(x)= x+3, ifx>0
EXTRA CREDIT: From the given information, make a sketch of the graph: for -2<x< 1 f'(x) >0 f'(x) >0 for x < -2 f'(-2) = 0 f(1) = 0 f'(x) < 0 for 1<x< 7 f'(7) = 0 f'(x) >0 for x > 7 f"(-2) = 0 f"(x) <0 for x < -2 f"(-1/2) = 0 f"(x) >0 for -2<x<-1/2 f"(x) <0 for -1/2<x<3 F"(x) >0 for x > 3 f"(3) = 0
9. [4 pts] Sketch a graph of a function that satisfies the following conditions lim f(x) = -0, lim f(x) = 0 and lim f(x) = 2. Answer the following questions based on your graph a. Find all the vertical asymptotes of f(x) if it exists. b. Find the horizontal asymptotes of f(x) if it exists.
3x +6, if x so (8 pts) 5. Sketch the graph of f(x)= 1 *+3, ifr>0 (9 pts) 6. The number of grams Q of a substance after 7 hours is given by Q=Qe6291How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places. [1 27 (9 pts) 7. Find A ', by hand, if A = 1 2 5 -1 1 2