For j(x) = 4x − 2, find j of the quantity x plus h end quantity minus j of x all over h period 4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h end quantity all over h
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h minus 1 end quantity all over h
the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h
Question 2(Multiple Choice Worth 2 points)

(02.07 LC)

If f (x) = 4x2 + 3x − 5, then the quantity f of the quantity x plus h end quantity minus f of x end quantity all over h is equal to which of the following?

4 times the quantity x plus h end quantity squared plus 3 times the quantity x plus h end quantity minus 5 minus 4 times x squared plus 3 times x minus 5 all over h
4 times the quantity x squared plus 2 times x times h plus h squared end quantity plus 3 times the quantity x plus h end quantity minus 5 minus the quantity 4 times x squared plus 3 times x minus 5 end quantity all over h
the quantity 4 times x plus 4 times h end quantity squared plus the quantity 3 times x plus 3 times h end quantity minus 5 minus the quantity 4 times x squared plus 3 times x minus 5 end quantity all over h
4 times the quantity x plus h end quantity squared plus 3 times x minus 5 minus 4 times x squared minus 3 times x plus 5 all over h
Question 3(Multiple Choice Worth 2 points)

(02.07 MC)

Determine f of the quantity 3 plus h end quantity minus f of 3 all over h if f (x) = 3x − 2.

2
3
2h
3h
Question 4(Multiple Choice Worth 2 points)

(02.07 MC)

Which of the following represents the difference quotient for f of x is equal to 4 over x question mark

the quantity 4 times x plus h end quantity over the quantity x times h times the quantity x plus h end quantity
negative of the quantity 4 times x minus h end quantity over the quantity x times h times the quantity x plus h end quantity
4 over the quantity x times the quantity x plus h end quantity
negative 4 over the quantity x times the quantity x plus h end quantity
Question 5(Multiple Choice Worth 2 points)

(02.07 MC)

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

3 over 7
5 over 7
7 over 3
7 over 5