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MTH 158 Midterm: MTH 154 Cleveland State Midterm H 154 CL1 Sample

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turquoisegnu128
15 Feb 2019
School
CSU
Department
Mathematics
Course
MTH 158
Professor
All

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Document Summary

Compute, if possible, (x2 2x 3) (x2 + 2x + 1) lim x 1. The result is closest to: 0. 80, 0. 90, 0. 75, 0. 70, 1. 00, 0. 95, does not exist e. 0. 65, 0. 85, 0. 55. Find the average rate of change for f (x) = x2 + x as x changes from 0 to 3. It is closest to: 2, 0, 1, 3, 6, 7, 5, 8, 9, 4. Let y = f (x) = 2x3 3x2 + 2. Find the slope intercept form of the equation of the tangent line to y = f (x) at the point where x = 1. The y intercept of this line is closest to: 9, 10, 11, 3, 4, 6, 2, 1, 8, 7. Find the x-coordinates where horizontal tangents for f (x) = 2x3 +18x2 +30x 16 occur. The rightmost one occurs closest to: 2, 5, 1, 3, 4, 4, 2, 6, 1, 0.

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Related Questions

Problem 4 Circle your answer. a) (6 points) If f(x) = 2x + 3x2 - 361 + 5, then the tangent line to the graph y= f(x) is horizontal when i) 1 = -2,3 ii) I = 2,-3 iii) r = 0 iv) not listed b) [6 points] Suppose Given h(x) = f(g(T)), where g(2) = 3, g'(2) = 7, f'(2) = -1 and 1'(3) = -2. Then h'(2) is equal to i) - 1 ii) -2 iii) - 14 iv) not listed (x+3)(1 - 1)3 c) (6 points) The function f(1) == (x2 - 2x + 1)(x + 3) wa has vertical asymptotes at i) x = -3,0 ii) = -3,0,1 iii) x = 0,1 iv) not listed d) (6 points] The solution to the initial value problem v'(x) = 473 – cos(x) +e", y(0) = 3 is i) y(x) = x + sin(x) + e* + 2 ii) y(I) = x4 – sin(x) +et+2 iii) y(x) = 2* – sin(1) + et + 3 iv) not listed

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1. (25 pts) The graph of a function f is given in the figure below. The domain of fis (-, +.). Use the graph of fto answer the questions below. yax) y=f(x) -3 - 2 3 4 (I) (1 pt) Find the range of f. (II) Find the following values. (Note: Possible answers include + , -, or "does not exist".) (a) (1 pt) (x) = 5 (b) (1 pt) lim f (x) = 5 (0) (1 pt) Tim f (x) = 5 (d) (1 pt) f(3) = 2 (e) (2 pts) lim f (x) = + 0 x-2- (8) (2 pts) 11m = (x) = 0 (g) (2 pts) lim f (x) = DOES NOT EXIST x+-2 (h) (2 pts) Lim f (x) = 0 (i) (2 pts) lim f (x) = + X +00 (III) (2 pts) Find all vertical asymptotes. x = -2 (IV) (2 pts) Find all horizontal asymptotes. y = 0 (v) (2 pts) Find all slant asymptotes. | y = x + 2 (VI) (4 pts) Determine the intervals of continuity for f. (-00, -2), [-2, 3), and (3, +c)