Complete the following statements:?

Question

Complete the following statements:
Let y=f(x) be defined on an open interval I and let at a ∈ I. For x ∈ I, x ≠ a, the number
∆y/∆x= f(x)−f(a)/ x−a

is called the ..............rate of change of y with respect to x over the interval [a,x], if a < x, or over the interval [x,a], if x < a.

If the limit

lim ∆y/ ∆x = lim f(x)−f(a)/ x−a
x→ a ∆x→ 0


of these................. rates of change , then it is called the................ rate of change of y with respect to x at x=a.

Answer 1

webmath.com
gomath.com
mathforum.org

All three have people standing by to help you via e-mail responses. I think all these are free. (I've used two of them but don't remember which two)

Answer 2

bryant's 'intro to analysis' book, right?