Question

the graph of the derivative Q' (x) is given below. We have Q'(0) =-2 (although it is hard to read from the graph). You are also told that the original function has y-value Q(0) = 32. Use this to estimate Q(2),Q(4), and Q(6) and fill in the empty boxes in the table shown for Q(x). You should show calculations that explain how you estimated these values using the Net Change Theorem

Answer 1

We are given

we can use linear approximation formula

now, we can plug values

Calculation of Q(2):

we can plug x=2

Calculation of Q(4):

we can plug x=4

Calculation of Q(6):

we can plug x=6