1) Find f(2+h), f(x+h), and (f(x+h) - f(x))/h

f(x)= x/(x+1)

My answers: f(2+h) = (2+h)/(3+h)

f(x+h)= (x+h)/(x+h+1)

(f(x+h) - f(x))/h= 1/[(x+1)(x+h+1)]

2) The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day.

(a) Express the cost as a function of the number of chairs produced, assuming that it is linear.

(b) what is the slope of the graph and what does it represent?

(c) what is the y-intercept of graph and what does it represent?

My answers:

(a) c(x)=13x+900

(b) slope is 13 which represents the price to produce each chair

(c)the y-intercept is 900 which represents the cost function when x=0