Question: 1. If f ( x ) = 2 x 2 + 4 x 3 , then h f ( x + h ) f (

1. If f(x)=2x2+4x3, thenhf(x+h)f(x) is equal to which of the following?

A.h(2x+2h)2+(4x+4h)3(2x2+4x3)

B.h2(x+h)2+4x32x24x+3

C.h2(x2+2xh+h2)+4(x+h)3(2x2+4x3)

D.h2(x+h)2+4(x+h)32x2+4x3

2. Which of the following is the average rate of change over the interval [-3, 0] for the function g(x)=log2(x+4)5?

A. 3/7

B. 7/3

C. 2/3

D. 3/2

3. For j(x)=5x3, find hj(x+h)j(x).

A.h(x3)(5h+1)

B.h5x3(5h)

C.h5x3(5h+1)

D.h5x3(5h+1)

4. Which of the following represents the difference quotient for f(x) = 2/x

A.x(x+h)2

B.x(x+h)2

C.x(h)(x+h)2x+h

D.x(h)(x+h)2xh

5. Determinehf(3+h)f(3) if f(x) = 4x-5.

A. 3h

B. 4h

C. 3

D. 4

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