Problem 2, (2 points) Use the given graphs of the function f (left, in blue) and g (right, in red) to find the following limits: lim|f(x)+g(x)] 1. lim[ƒ(x) + g(x)] = 2. lim[ſ(x) + g(x)] = 3. lim /(x)g(x) — help (limits) 4. lim 5. 33 0 g(x) lim √3/(x)= Note: You can click on the graphs to enlarge the images.

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?

Use the graph of the function f(x) to answer each question . (a) S(0) = (b) S(2) = 3 (c) S(3) (d) %3D lim f(x) = (c) lin f(r) = エー0 %3D 2 3 (f) lim S(x) = (g) lim f(r) = %3D (h) lim f(z) =

The graph below is the function f(x) -4 -1 lim x-2+ 5- 4 3 2 + Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. f(-2) + lim f(x) = x-2- lim f(x) x--2 -2 f(x) =

If 2x - 2s f(x) sx2 - 2x + 2 for x 2 0, find lim f(x). x-2

Given the graph of f(x) at the left, determine the following: a. f(6)= b. lim f(x) = x+2 C. lim f(x) = x-6 d. lim f(x) = x-2- 6- y = f(x) 4- 2- ΟΙ 2 -~ x 2 6 8

Find lim,2 f (x)

For the function whose graph is given, statethe value of each quantity, if it exists. If it does not exist,explain why. "Answer letter G and H only"

2. A portion of the graph of the function y = f(x) is shown in the figure. (a) State the domain and range of f. (b) Find the values: f(-2) and f(3). (c) Use the graph to determine each of the limits: (i) lim f(x); lim f(x); lim f(x) x-2+ x-2- x-2 (ii) lim f(x); lim f(x); x-3 lim f(x). x+3 3. The graph of the function y = k(x) is shown in the figure. (a) Write a piecewise formula for the function k. (b) Evaluate the one-sided limits of k at x = 1 algebraically, by using your formula from part (a). y=f(x) 1+ fif 1 -1- 2 1.5 1 4. Let f(x) = |x| and g(x) = x - 3. (a) Determine the formulas for each of the related composite functions: h(x) = (fog)(x) = f(g(x)) s(x) = (gof)(x) = g(f(x)) t(x) = (gofᵒg)(x) = g(f(g(x))). 5. (a) Find the values of x₁ and x₂ in the figure. (b) Find the largest positive number 8 such that: |-1|<0.1 whenever 0<|x-1|<8. Hint: Choose to be the minimum value of |x-1| for i = 1,2. (b) Plot graphs of all the functions: f,h, s, and t in the same coordinate plane. Use…

How would I solve this problem? I do know that each function should approach the given numbers, but I don't know exactly what to do to get to the answer.