# Let f be the function given by f x x which of the

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5.Let fbe the function given by ( )fxx=. Which of the following statements about fare true? I.fis continuous at 0x=II.fis differentiable at 0x=III. fhas an absolute minimum at 0x=. . . (A) I only (B) II only (C) III only (D) I and III only (E) II and III only 3
6.If fis a continuous function and if ( )( )Fxfx=for all real numbers x, then 12fx dx=(A) ( )( )2321FF(B) ( )( )113122FF(C) ( )( )2622FF(D) ( )( )62FF(E) ( )( )1162227.The graphs of the derivatives of the functions f, g, and hare shown above. Which of the functions , or hhave a relative maximum on the open interval axb<<()
FFf, g?
g, and h
8.If dykydt=and kis a nonzero constant, then ycould be
ky+9.If ( )()()3212fxxx=+, then ( )fx=
++
+10.A particle moves along the x-axis with velocity given by ( )236v ttt=+for time 0t. If the particle is at position 2x=at time 0t=, what is the position of the particle at 1t=? (A) 4 (B) 6 (C) 9 (D) 11
(E) 12
11.(2003, AB-6) Let fbe the function defined by ( )1 for 035for 35xxfxxx+=<(a)Is fcontinuous at 3x=?