Can you answer the following questions and if they have needed steps show them please 1-8

I. Write an equation that expresses the fact that a function [ is continuous at the number 4. 1, If f is continuous on (2, =), what can you say about its graph? [3.] (a) From the graph of f, state the numbers at which f is dis- continuous and explain why. (b) For each of the numbers stated in part (a), determine whether f is continuous from the right, or from the left, or neither. A i ' | \\ -4 -2 0 2 4 6 X 4. From the graph of g, state the intervals on which g is continuous. 5. Sketch the graph of a function that is continuous everywhere except at x = 3 and is continuous from the left at 3. 6. Sketch the graph of a function that has a jump discontinuity at x = 2 and a removable discontinuity at x = 4, but is con- tinuous elsewhere. [L] A parking lot charges $3 for the first hour (or part of an hour) and $2 for each succeeding hour (or part), up to a daily maxi- mum of $10. (a) Sketch a graph of the cost of parking at this lot as a func- tion of the time parked there. (b) Discuss the discontinuities of this function and their significance to someone who parks in the lot. 8. Explain why each function is continuous or discontinuous. (a) The temperature at a specific location as a function of time (b) The temperature at a specific time as a function of the dis- tance due west from New York City () The altitude above sea level as a function of the distance due west from New York City