Please answer all questions and provide work and explanations for every problem. Please write neatly. Thank you!

Show ALL your work and always use correct mathematical notation. 1. The graph ofthe functionx) is shown below. Using the graph determine the following limits or explain why the limit does not exit a) 1im.f(x)= .l' )-J b) 1mm}: .r )0 2) ling r) = 2. Evaluate each of the following limits if they exist (be careful with indeterminate forms). _ _3 4 . 3+125 a) 11m\" ) b) 11m X xr3 x't x>5 x+5 . 3 35 2 . 2 2 :2 11m I x d) 11mJr x xyz X24 {90 I2+1 4x 2 ; x 3 xZ 3.) Sketch the graph of y = f (x) b) What is f(3)? c} Find each of the of the following limits if they exist or explain why it doesn't )1? x) 531}; f ()6) cl) What are the values ofx for which the function is not continuous? Explain why. e) Write the intervals where the function is continuous