1% https://www.webassian.net/web/Student/Assignment-Responses/last?depe20446966 NVCC: Single Sign-On to all y.. Quiz 1 (WbAOD) 1. 11.04 points SCalcET8 22.017. 0/2 Submissions Used Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) 6, lim fx) 4, lim f(x) 4, f(5) 5, f-B) -3 -3 2 -5 4 4 2 2 5
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- Jesaki Car Sharing offers a membership plan with a $53 per month fee that includes 10 hours of driving each month and charges $8 for each additional hour. Let F(x)F(x) be the cost for a month in which a member uses a car for xx hours. Consider the following limits. limx→10+F(x)limx→10+F(x) limx→10−F(x)limx→10−F(x) limx→10F(x)limx→10F(x) Compute 2. Round to the nearest cent. Enter 0 if the limit does not exist.The percent of research articles in one prominent journal written by researches in the Unites States during 1983-2003 can be modeled by A ( t ) = 12 + 28/1+.6(1.6)-t where t is time in years since 1983. Numerically and/or graphically estimate lim x → ∞ A ( t ). (Do not include units or symbols.)Find f(2) and lim f(x)
- The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours x of training of its sales staff, according to the following. (Give exact answers. Do not round.) S(x) = 2 x + 20 + x 2 , 2 ≤ x ≤ 100 (a) Find lim x→2+ S(x). thousand dollars(b) Find lim x→100− S(x). thousand dollarsInvestigate lim (1 + x) 1/x numerically and graphically. x➔0sketch the graph? lim f(x)=-2 , lim f(x)=0 , lim f(x)=infinity , lim f(x)= - infinity, x->- infinity x->infinity x->-3 x->3- lim f(x)=2, and f is continuous from the right at 3. x-> 3+
- 6. Given f(x)= { 3, if x < -2 x, if -2 ≤ x<8 x+3, if x≥8 estimate lim f(x) x→−2 a.-2 b. 1 c. does not exist d. 3 7. Using a table of values, estimate lim 1/ x-3 x→3 a. 1 b. -1 c. - ∞ d. ∞ 8. Using table of values, estimate lim x+4/ (x-5)2 x→5 a. 10 b. 8 c. - ∞ d. ∞Draw a simple graph of a function f satisfying the followings: limx→2−f(x)=∞ ; limx→2+f(x)=−∞ limx→−1+f(x)=−4 ; limx→−1−f(x)=3 limx→0+f(x)=−∞ ; limx→0−f(x)=2 limx→6f(x)=0 ; limx→−4f(x)=0 limx→∞f(x)=12 ; limx→−∞f(x)=∞ ( Please do not try to formulate the function, just draw a simple graph which satisfy all above properties. )Sketch a graph of a function satisfying the following properties. 1) lim f(x)= -2 x--> 5 2) f'(5)=DNE
- Let G(x) = (x + 6)/(x2 + 4x - 12). a. Make a table of the values of G at x = -5.9, -5.99, -5.999, and so on. Then estimate limx--> -6 G(x). What estimate do you arrive at if you evaluate G at x = -6.1, -6.01, -6.001, .....instead? b. Support your conclusions in part (a) by graphing G and using Zoom and Trace to estimate y-values on the graph as x --> -6Sketch a graph of one function that has all the following properties. lim(x → -1-) f(x) = -1. lim(x → -1+) f(x) = 2. f(-1) = 4. lim(x → 2) f(x) = -∞. lim(x → ∞) f(x) = -3. P.S. Please try to be as detailed as possible~) Draw a graph of a function y = f(x) compatible with the informations given below.lim x→−∞f(x) = −4 limx→∞f(x) = 7 limx→−7−f(x) = 2 limx→−7+f(x) = −2 limx→−3−f(x) = −6limx→−3+f(x) = 3 limx→0−f(x) = −∞ limx→0+f(x) = ∞ limx→4−f(x) = −∞ limx→4+f(x) = 3limx→5−f(x) = −2 limx→5+f(x) = −2 limx→8f(x) = 10 limx→11f(x) = 20 limx→15f(x) = 0f(−9) = 0 f(2) = 0 f(5) = −3 f(6) = 0 f(15) = −5