I need all of theses please

Directions: Show all work for full credit. Work not shown for uestions that re uire work ma receive no credit! You ma not use a calculator or an form of technol . 1. Use the graph of x) below to answer the following. a. (1 point) 313 f(x) b. (1 (10111015313 at) c. (1 point) 133; f(x) d. (1 point) 1312; f(x) e. (1 point) f(2) f. (2 points) State the x values for which the g. (2 points) State the x values for which function is discontinuous. the function is not differentiable. 2. (3 points) Use the Intermediate Value Theorem to show that the function f(x) = x3 x + 2 has a root between at = 2 and x = 0. 3. (4 points) If x2 + 3 s f(x) S 7ex - 4 for x 2 0, find lim f(x). (Hint: Use The Squeeze Theorem!) 6. (3 points each) Evaluate the following limits (if they exist). You must show all work to support your answers. If the limit does not exist, explain why in detail. a. lime-*cos(x) *-+ 0 b. lim- x2-7x+12 x-3 x2-9 4. (5 points) Find the value of k that makes the function continuous on (-0o, co). f(x) =k cos(x - 4), x54 (2kx - 16, x> 4 C. 8x3-7x2-3 x-+co 5x3+12x-4 d. lim Vx2+16-5 X -+ 3 x-3 5. (3 points each) Given the following, calculate the limits below. You must show work by using the appropriate limit laws. lim f(x) = 5 x-3 lim g (x) = 4 x-+3 a. lim Vg(x) - 3f(x) b. lim (f(x)2+2g(x)) x-3 e. lim In cos(x)) X-nt/2 f. lim sin(2x) OFx 2