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This is my midterm exam. Please help me out ASAP. Thank you!! Problem 1 (18 Points) A polynomial function f has a graph below. 1.1)
This is my midterm exam. Please help me out ASAP. Thank you!!
Problem 1 (18 Points) A polynomial function f has a graph below. 1.1) Is the function even, odd, or neither? Explain your reasoning. 1.2) On what xintervals is the graph increasing? Write your solution in interval notation. 1.3) Is the degree of f even or odd? How can you tell? 1.4) Is the leading coefcient of f positive or negative? How do you know this? Problem 2 (14 Points) Know that the polynomial h (at) = x4 8:133 | 21:132 20.99 | 4 has a factor (x 2) of degree 2. Find all the zeros of h (:12). (Hint: use synthetic division and quadratic formula) Problem 3 (20 Points) Answer the questions about all the functions. Show work for each part. Mm) = 33;: f(:z:) = a: + 3 9(53) = 3:33\"; 3.1) Find hl. 3.2) Find the domain of g()() 3.3) Compute and simplify (h o f)(m) 3.4) Use the algebraic test to determine if g(x) is even, odd, or neither. Problem 4 (6 Points) Consider each graph. Write a rule for the function. Hint: base function is at) 2 m2 Problem 5 (14 Points) Consider the graphs of f and g. 5.1) State the domain and range of f. 5.2) Copy f onto your template and label it. Sketch f and label it. Label two points on f with their coordinates. Problem 6 (14 Points) 6.1) Perform the multiplication. Write the answer in the form a+bi. (4 - 32) (5 + i) 6.2) Find the real or complex zeros in equation a2 + 4x + 5 = 0Problem 7 (14 Points) 7.1) Sketch the graph ofp (m) : 3(:n l 5)3 (m 2) (m 3)2. Make sure to label zeros/ xintercepts of the function. 7.2) Solve 3(m + 5)3 (a: 2) (a: 3)2 2 0Step by Step Solution
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