Productivity The figure is a typical graph of worker productivity per hour P as a function of time t on the job.
(a) What is the horizontal asymptote?
(b) What is
(c) What is the horizontal asymptote for
(d) What is
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- Part a) Given the graph of f(z) below, evaluate each of the following limits. f(x) -8 -7 -6 -5 -4 -3 2 5+ 4+ 3+ • Previous 2- 123 1 2 3 4 5 678x lim f(x)= DNE X 14-5 lim f(x)= DNE × 7--5+ hoparrow_forwardf(x) The graph of a function f and its tangent line at 0 are shown. What is the value of lim x-0 e 4x - 1 The xy-coordinate plane is given. There is a curve and a line on the graph. • The curve labeledy = f(x) enters the window in the sedondyquadrant, goes down and right, crosses the negative x-axis, changes directiop in the third quadrant, goes up and right erdis the ytaxis at the origin touching the line X, changes etion in the firs quadrant, gogs down and right, and exits the vindovyst above the x-axis. The lihe x enters the window in the third gdadrant goes up and right, crosses the -axis at the brigin touching the curve labeled y = f(x), and exits the window in the first quadrant.arrow_forwardY=(x-1)^2-1 Sketch the graph of each function put on the parent function first and show how the graph has moved Also show workarrow_forward
- (ii) 1 Consider the function f(x)= x* +1 (a) 1 Evaluate lim x>0 x + 1 (b) Find the stationary point of the curve y = f(x) and determine its nature. (c) Find the point(s) of inflection of the curve y = f(x) . (d) Sketch the curve y = f(x) showing all the features found above. Using your graph, find all values of k for which the equation kx? = 1-k has exactly one solution. (e)arrow_forwardCalc 1 number 7arrow_forwardIs this correct? I don’t know how to notate it?arrow_forward
- Fast pls solve this question correctly in 5 min pls I will give u like for sure Anuarrow_forwardDifference between f(c) and lim f(x) as x approaches carrow_forwardThe graph of the function fis given below. y 4 3 10 х 2 4 6 8. 10 (a) Find the value of each quantity, if it exists. If an answer does not exist, enter DNE. lim f(x) = X-7 lim f(x) = lim f(x) = x-5* lim f(x) = X-5 f(5) = (b) Determine the values of x in the interval (0,9) , if any, at which the function is not differentiable. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X =arrow_forward
- Tutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 3 1 -6 -5 -4 -3 -2 -1 1 (a) lim f(x) X-4 (b) lim f(x) X-1- (c) x--1+ lim f(x) (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 (a) lim f(x) X→-4 Recall lim f(x) exists if and only if lim f(x) = lim f(x). a+ Xa Xa Also recall lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a for Xa x a. Using the graph, find the values (if they exist) of lim f(x) and lim f(x). (If a limit does not exist, enter DNE.) X→-4+ X-4- lim f(x) = X→-4- lim f(x) = X→-4+ O, lim f(x) ---Select--- X--4 O and its value is as follows. (If the limit does not Since these limits -Select--- exist, enter DNE.) lim f(x) = X-4arrow_forwardPlz answer all parts or leave it hangingarrow_forwardThe equation of the horizontal asymptote for the function y= - 4+2 -(x+4) isarrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage