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- Consider the following function and graph. (a) lim fcx) つる 1 f(x) x + 2 3 (b) lim flx): Determine whether f(x) approaches o or -o as x approaches -2 from the left and from the right.c) lim f(x) x-1 2x - 1 if x 2 a) lim f(x) x→2- b) lim f(x) x→2+ c) lim f(x) X-2 3. Sketch the graph of a function that satisfies the following conditions: f(3) = 1 ; lim f(x) = -3; lim f(x) = 0: lim f(x) DNE %3D x-3- x-3+ x-3 Section 2.3: Evaluate the following limits. MacBook Air 吕0 DII O00 F3 F4 F5 F6 F7 F8 F9Use the graph below of a function f to determine each of the following.
- Please help2. 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…Find the one-sided limits
