Chapter 2, Problem 26RE

How do you find the domain for the composition of two functions, fg ?

Describe why the horizontal line test is an effective way to determine whether a function is one-to-one?

Suppose the range of a function fis [5,8] . What is the range of |f(x)| ?

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

Sketch a graph of a function that satisfies all of the following properties. a) f(-6) is undefined, but lim f(x) exists. 2- X→-6 b) lim f(x) does not exist. |-6 |-4. |-2 2. 4 6. X→-4 c) f(-2) = -2, but f is not -2- differentiable at x = -2. d) lim f (x) = ∞ X→2 -4- 4.

Consider the following. X = if x 1 Find the left-hand and right-hand limits. lim f(z) f(x). lim f x-1+ П A/ A

How do we identify if the limit of a function exists or not?

Sketch the graph of f(x)= [x+1, x1 Evaluate the limit of the function when x-1, if exist. 9