Answer the problems by writing Quiz 1... a), b), c) etc

Quiz 1 Math 125 Fall 2023 Instructions. Try to take this quiz in a "test like format" (i.e. no calculators, books, etc. ), and give yourself a 20 minute time limit. Remember, the quiz is graded on completion only; the main point is for you to get an idea of if you're able to do these sorts of problems under the time and resource restrictions that will be present in an actual exam. Good luck! Problem 1 (5 points). Let f(x) = 4-x2 and g(x) = 1/Vi. (a) Calculate (go f)(x) and (fog)(x). b) What are the domains of go f and fog? Problem 2 (5 points). Let f(x) = sin(2x) +1. Write down a function g(r) whose graph is obtained by taking the graph of f(x) and: (a) Shifting it to the right 4 units, and then reflecting it over the r-axis. (b) Vertically stretching it by a factor of 7, and then shifting it up 100 units. Quiz 2 Math 125 Fall 2023 Instructions. Try to take this quiz in a "test like format" (i.e. no calculators, books, etc.), and give yourself a 20 minute time limit. Remember, the quiz is graded on completion only; the main point is for you to get an idea of if you're able to do these sorts of problems under the time and resource restrictions that will be present in an actual exam. Good luck! Problem 1 (5 points). (a) Evaluate the limit Vt - 2 t-+4 t - 4 if it exists; otherwise, explain why the limit doesn't exist. (b) Evaluate the limit w W-+0 2 - Vw + 4 if it exists; otherwise, explain why the limit doesn't exist. Problem 2 (5 points). Consider the function f ( 2 ) = us - 4 1-94 u> -4. (a) Evaluate the limit lim f(u), if it exists; otherwise, explain why the limit doesn't exist. (b) Evaluate the limit lim f(u), if it exists; otherwise, explain why the limit doesn't exist. Quiz 3 Math 125 Fall 2023 Instructions. Try to take this quiz in a "test like format" (i.e. no calculators, books, etc.), and give yourself a 20 minute time limit. Remember, the quiz is graded on completion only; the main point is for you to get an idea of if you're able to do these sorts of problems under the time and resource restrictions that will be present in an actual exam. Good luck! Problem 1 (5 points). Consider the function (2 + 3)2 0 5. (a) Is f continuous at x = -1? Explain your answer. (b) Is f continuous at r = 5? Explain your answer. Problem 2 (5 points). Consider the function 9(t) _ 2to + 5+3 + 4t + 10 316 + 24t (a) Evaluate the limit lim g(t). b) Evaluate the limit lim g(t). (c) Does g(t) have any horizontal asymptotes? If so, then write down the equation(s) for these asymptotes