Chapter 9.3, Problem 54E

Suppose that f(x) = Aæ² + Bx. Find the values of the constants A and B if f(2) = -4 and %3D [A(-1+h)² + B(-1+h)] – [A – B] lim h→0 = -6. h A = (Enter an integer) B = (Enter an integer)

Kindly solve 4a, 4b, 4c and 4d respectively in the picture below.

Shown below are six statements about functions. Match each statement to one of the functions shown below which BEST matches that statement. 1. limx→7+ f(x) and limx→7- f(x) both exist and are finite, but they are not equal. 2. The graph of y = f(x) has vertical tangent line at (7, ƒ(7)) 3. lim 7 f(x) = -∞o. 4. limx→7+ f(x) exists but limx→7- f(x) does not. 5. limx→7 f(x) = ∞0. 6. lim→7 f(x) exists but f is not continuous at 7. A. f(x) = B. f(x) = cos (¹7) 0 F. f(x) = 2x + 28 2x 0 28 (x-7)² c. f(x) = D. f(x)=√x-7 E. f(x) = 1 x-7 2x 0 2x 2x if x 7 if x 7 if x 7