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1) Use the rational zeros theorem to find all of the real ze...

1) Use the rational zeros theorem to find all of the real zeros of the polynomial function p (x) = 2x3 - x2 + 2x-1. - Use the zeros to factor p over the real numbers. Show all steps. 2) Find the vertical, horizontal, and oblique asymptotes, if any, for the rational function, f (x) = 6x2+x+2 and th...

1) Determine the quadratic function which has a vertex at (3...

1) Determine the quadratic function which has a vertex at (3, 4), and passes through the point (5, 5). Express the function in the form f (x) = ax2 + bx + C. Show all steps required to obtain this function. 2) If you have 100 meters of fencing, and would like to fence the largest rectangular area...

1. Find the indicate sum. Show your work. & (-1) K(...

1. Find the indicate sum. Show your work. & (-1) K(K+11) K=1 2. Locate the focia of the ellipse. Show your work. x2 2 + Y = I 36 3. Solve the system by the substitution method. Show your work. 2y-X=5 x2+42-25=0 4. Graph the function. Then use your graph to find the indicated li...

Problem 1. (10 points) Let f and g be the functions descri...

Problem 1. (10 points) Let f and g be the functions described by the following graphs: Graph of f(x) Graph of g(x) 5 5 1.0 1.0 F6 1.0 6 F6 6 -6 a. Fill in the blanks (using interval notation): The domain of f is The range of f is The domain of g is The range of g is b. Is g a on...

SHOW ALL WORK f(x)=='-4x 1) Given the function: Algebrai...

SHOW ALL WORK f(x)=='-4x 1) Given the function: Algebraically, a) find f(2) b) Solve f(x) =0 c) determine if f is even, odd, or neither Graphically: Use this graph of f(x) to answer the following questions: d) Find the points where the relative maximum and the relative minimum 0 e) Where is...

y A 4 (4,3) (-2,1) - (3,0) -6 6 X (-4--3)-1-3,0)-12-1...

y A 4 (4,3) (-2,1) - (3,0) -6 6 X (-4--3)-1-3,0)-12-11 4 Based on the graph of the function y = f(x) below, answer the following questions: 1) What is the domain of f? 2) What is the range of f? 3) Find the intercepts. 4) What is f(0)? 5) Solve f(x) = 0. 6) What is f(2)? 7) For what...

Bonus 1) A periodical distribution company finds that its t...

Bonus 1) A periodical distribution company finds that its total sales in dollars, S(x). from the distribution of x thousand catalogues is approximated by S(x)=a-log(x + b) . where a and b are real numbers. When 5000 catalogues were distributed, the resulting total sales was $3890.76. When 24,000 ...

A graph of a function f is given. 1 x (b) Find the interv...

A graph of a function f is given. 1 x (b) Find the intervals on which f is increasing. (Enter your answer usin interval notation.) Find the intervals on which f is decreasing. (Enter your answer using interval notation.) Determine the net change and the average rate of change for the function...

Part 1: Use trigonometric identities to simplify the express...

Part 1: Use trigonometric identities to simplify the expressions. 1) cot2 cot² cos2 x 1-tan2x 2) cotxx-1 Part 2: Factor the expression completely. 3) Part 3: Simplify each rational expression completely. 4) cosB+1 10cos0 + 5 5) 2cos 0 15cos0 sin20 sin 0 - 12 5 3 6) cos x-cosx- 6...

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