1

dochub.com Classwork fo.. CA - 12DD 9.. Meet - sio-ts... # Course Hero Start Page 4 Trem Derici Q V - D Sign Work out all as directed and keep in mind the above-mentioned levels while solving the given below questions. 1. The point P (1, 3) lines on the curve y = x 2 + 2. a) If Q is the point (x, x 2 + 2), find the slope of the secant line PQ for the following x values: (i) 2 (ii) 1.5 (iii) 1.1 (iv) 1.01 (v) 1.001 (vi) O (vii) 0.5 (vili) 0.9 (ix) 0.99 (x) 0.999 b) Using the results from part (a), guess the value of the slope of the tangent line to the curve at P (1, 3). c) Using the slope from part (b), find the equation of the tangent line to the curve at P (1, 3). Show your work graphically. 2. Overall Expectation: I can demonstrate an understanding of mare of change by making MacBook AirFor what value of the constant a is the function continuous on (-co, co). (2x - 3, ifx>-1 f ( x) = 12+ ifxs-1Q v . Sign 4. The fish population, in thousands, in a lake at time , in years, is modelled by the following function 1 at2 if Ost6 P(t) = 12 (2+ 7at2 if 6 1 a) f( x) = - x2 ifIsx3 MacBook Air 886 F4 F5 F7 FB FO FIO A A 5 6 7 E R T U O P D F G H Kdochub.com C EA - 12DD 9.. Meet - sio-ts... Course Hero Start Page irem Derici -... UPGRAD Sign Determine the slope of the tangent to the curve defined by the function f (x) = (x - 1)2 - 1 at the point (1, -1)Q V Sign 6. Find the numbers at which fis discontinuous. At which of these numbers is / continuous from the right, from the left, or neither? Sketch the graph of f. 2-x if x > 1 a) f(x) = ifIsx -2 b) f(x ) = 152 if 25x1 if x > 1 2x - 5 if x0 MacBook Air GO F3 888 F4 -. F5 -2- F6 F7 DIIdochub.com EA - 12DD 9... Meet - sio-ts... *Course Hero Start Page V . Sign 7. f(x ) - ax + 3 6 - 2 4 1 x 2 -1 Find the constant c that makes g continuous on (-co, co) c if x - 4 g (x) ox + 20 if x 24 8.Consider the function graphed below. Does lim f (x) exist? Explain how you know.0 dochub.com CA - 12DD 9.. Meet - sio-ts... *Course Hero Start Page Sign For what value of the constant a is the function continuous on (-oo, co). f(x) _ (2x -3, ifx > -1 (x2 +a, if xs -1