Calculus test on chapter on 3 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Find the table that matches the given graph. 1) A) B) x f (x) x f (x) a does not exist a 0 b 0 b 0 c 1 c -1 C) D) x f (x) x f (x) a does not exist a does not exist b does not exist b 0 c -1 c -1 Find the absolute extreme values of the function on the interval. 2 2) g(x)=-x + 8x- 16, 4 x 4 2) A) absolute maximum is 0 at x = 4; absolute minimum is 0 at 4 and 0 at x= 4 B) absolute maximum is 1 at x = 5; absolute minimum is 0 at 4 and 0 at x= 4 C) absolute maximum is 32 at x= 4; absolute minimum is 0 at 4 and 0 at x = 4 D) absolute maximum is 0 at x = 5; absolute minimum is 0 at 4 and 0 at x= 4 1 3) h(x)= x+ 4, -2 x 4 3) 2 A) absolute maximum is - 2 at x= 4; absolute minimum is 3 at x =-2 B) absolute maximum is - 2 at x=-2; absolute minimum is 3 at x = 4 C) absolute maximum is 6 at x = 4; absolute minimum is 3 at x =-2 D) absolute maximum is - 2 at x=-4; absolute minimum is-4 at x= 2 1Find the absolute extreme values of the function on the interval. 4/3 f(x)= x , -1 x 8 4) 4) A) absolute maximum is 64 at x= 8; absolute minimum is 0 at x= 0™ B) absolute maximum is 16 at x= 8; absolute minimum does not exist C) absolute maximum is 16 at x= 8; absolute minimum is 1 at x=-1 D) absolute maximum is 16 at x= 8; absolute minimum is 0 at x= 0™ Determine all critical points for the function. 3 5 5) f(x)= 20x - 3x 5) A) x=-2 and x = 2 B) x= 2 C) x=-2 D) x= 0, x =-2, and x= 2 2 6) y= 4x - 128 x 6) A) x= 0 and x= 4 B) x= 0, x = 4, and x=-4 C) x= 4 D) x= 0 Find the extreme values of the function and where they occur. 2/3 7) y= (x- 5) 7) A) The minimum value is 0 at x = 5. B) The maximum value is 0 at x=-5. C) There are no definable extrema. D) The minimum value is 0 at x =-5. x+ 1 8) y= 8) 2 x + 2x+ 2 A) None 1 B) The maximum is 2 at x= 0; the minimum is at x=-2. 2 1 1 The...
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