Calculus 1 Mathematics miramar college Calculus Week

Take-HomeWeek Quiz 11 (Sec 1.1) Due 2/6 Homework 1.1.1 Use functional notation to evaluate a function. Problem #1: Find the values for the function, if they exist, then simplify. a. 𝑓(0) b. 𝑓(3) c. 𝑓(−𝑥) d. 𝑓(𝑎 + ℎ) 𝑓(𝑥) = 4𝑥 ! − 3𝑥 + 1 o Correct 3 pts o Correct method with Algebra mistakes 2 pts o Incorrect method with work shown 1 pt o No work shown 0 pts 1.1.2 Determine the domain and range of a function. Problem #2: (a) Determine the domain and the range of the relation, and (b) State whether the relation is a function. o Correct 3 pts o Correct method with Algebra mistakes 2 pts o Incorrect method with work shown 1 pt o No work shown 0 pts 1.1.3 Draw the graph of a function. Problem #3: a) Set up a table to sketch the graph of the function𝑓(𝑥) = −𝑥 ! + 3 using the following values: 𝑥 = −3, −2, −1,0,1,2,3. b) Determine the intervals where the function is increasing and the intervals where the function is decreasing. o Correct 3 pts o Correct method with Algebra mistakes 2 pts o Incorrect method with work shown 1 pt o No work shown 0 pts 1.1.4 Find the zeros of a function. Problem #4: Find all zeros/intercepts, if any, of the function 𝑓(𝑥) = 2𝑥 ! − 3𝑥 + 1 o Correct 3 pts o Correct method with Algebra mistakes 2 pts o Incorrect method with work shown 1 pt o No work shown 0 pts 1.1.5 Recognize a function from a table of values. Problem #5: (a) Determine the domain and the range of each relation, and (b) State whether the relation is a function. o Correct 3 pts o Correct method with Algebra mistakes 2 pts o Incorrect method with work shown 1 pt o No work shown 0 pts 1.1.6 Make new functions from two or more given functions. Problem #6: For the pair of functions, 𝑓(𝑥) = 𝑥 − 8, 𝑔(𝑥) = 5𝑥 ! Find a. 𝑓 + 𝑔 b. 𝑓 − 𝑔 c. 𝑓 ⋅ 𝑔 d. 𝑓/𝑔 e. 𝑓 ∘ 𝑔 o Correct 3 pts o Correct method with Algebra mistakes 2 pts o Incorrect method with work shown 1 pt o No work shown 0 pts 1.1.7 Describe the symmetry properties of a function. Problem #7: Determine whether the following function is even, odd or neither 𝑓(𝑥) = 4−𝑥 ! o Correct 3 pts o Correct method with Algebra mistakes 2 pts o Incorrect method with work shown 1 pt o No work shown 0 pts