Please show working

1. (5 pts.) Consider the function f(I) = - T - 4 x2 - 16 Complete the following table. Use your calculations to guess a value for lim - x - 4 1-+4 x2 - 16' 3 3.9 3.99 3.999 4 4.001 4.01 4.1 5 f (I) = - I - 4 72 - 16 und. What is lim I- 4 2 1 +4 x2 - 16 2. Sketch the graph of a function f that satisfies all of the following conditions. (5 pts.) . lim f(x) = 2 I-+1 . f(1) = 3 . lim f(x) = -00 . lim f(x) = 00 1-+3- lim f(x) = -1 I-+3+ 3. Consider the following graph of y = f(I). 3 2 1 -2 2 3 -2 (a) What is lim f(x)? (1 pt.) (b) What is f(1)? (1 pt.) (c) What is lim f(x)? (1 pt.) I-+2- (d) What is lim f(x)? (1 pt.) z-+2+ (e) What can you state about lim, f(x)? (1 pt.) 4. Evaluate lim T-4+ x - 4 (5 pts.)