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    1. Perform the indicated operation and simplify. You must show all work. =8/(2m^2-7m-4)+7/(10m^2+3m-1)-4/(5m^2-21m+4)
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    2. Find complex number solutions. Solution: 2/(t+3)-3t/(t-3)=5/(t^2-9)
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    3. Simplify the complex rational expression.(4/(x^2+3x-18)+2/(x^2+4x-21))/(4/(x^2+13x+42)+2/(x^2+2x-15))
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    4. divide and simplify. (x^3-8)/(x^2+2x+4)÷(x^2-2^2)/(x^2+6x+8)
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    5. Multiply and simplify. f(a)=(110ab+110b)(30a-100)/(3a^2-10a)(11a^2 b-11b)
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    6. Solve the rational equation. f(x)=(x^2-8xy+16y^2)/(x^2-4xy)
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    7. Simplify right hand side f(x)=(16x^2-9)/(512x^3+216)
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    8. Find the domain of rational function f(x)=(x-7)/(x^3-〖7x〗^2-100x-700)
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    9. The function f(x) = 2.9√x + 20.1 models the median height, f(x), in inches, of boys who are x months of age. The graph of f is shown below.
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    10. Graph the standard quadratic function, f(x) = x^2. Then use transformations of this graph to graph the function h(x) = 〖(x - 2)〗^2 + 1. Using the coordinate template below, draw the graph of h(x).
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    11. Use the graph of y = f(x) to graph the function g(x) = f(2x). Use the coordinate template below to draw the graph of g(x)
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    12. Use the graph of y = f(x) to graph the function g(x)=f(x+1)+ 2. Use the coordinate template below to draw the graph of g(x).
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    13. The bar graph below shows that as costs changed over the decades, Americans devoted less of their budget to groceries and more to health care.
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    14. Write an equation in slope-intercept form of a linear function f whose graph satisfies the following conditions. The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y-intercept of -4.
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    15. Find the average rate of change of the function f(x)=x^2+2x from x_1 =3 to x_2 = 5.
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    16. Write an equation for line L in point-slope form and slope-intercept form.
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    17. Using the graph below, list the slopes m1, m2, m3, and m4 in order of decreasing size.
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    18. Give the slope and y-intercept of the line whose equation is f(x)= 3/4 x-2. Then graph the linear function. Use the coordinate template below to draw the graph of f(x).
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    19. Using the coordinate template below, draw a graph with the square root functions, f and g, in the same rectangular coordinate system. Use the integer values of x given to the right of each function to obtain ordered pairs. Once the functions are graphed, describe how the graph of g is related to the graph
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    20. (2 Points) Use transformations of f(x)= 1/x or f(x)= 1/x^2 to graph the rational function (x)=1/〖(x+2)〗^2 .
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    21. (1 Point) Find the horizontal asymptote, if there is one, of the graph of the rational function g(x)=(12x^2)/(〖3x〗^2+1). Describe the steps to complete this and provide your answers. Horizontal Asymptote:
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    22. (1 Point) Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function g(x)=(x-3)/(x^2-9) . Describe the steps to complete this and provide your answers. Vertical Asymptotes: Holes at x =
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    23. Question 12: (1 Point) Refer to the graph of the rational function for Exercises 15-20 on page 427 and complete the following statements.
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    24. (1 Point) Refer to the diagram of the rectangular box for Exercise #52 on Page 393. Use synthetic division to show that 2 is a solution of the polynomial equation (show your work) 2h^3+14h^2-72
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    25. Question 10: (1 Point) Describe the steps for dividing the following two polynomials using synthetic division. State the quotient, q(x), and the remainder, r(x).
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    26. Question 9: (1 Point) Describe the steps for dividing the following two polynomials using long division. State the quotient, q(x), and the remainder, r(x).
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    27. (2 Points) Refer to the graphs and description for Application Exercise #73 on Page 379. Then provide the following information
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    28. (2 Points) For the polynomial function f(x)=-x^4+4x^2
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    29. (1 Point) Using the Leading Coefficient Test, what is the end behavior of the graph of the polynomial function (x)=-5x^4+7x^2-x+9 ?
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    30. (1 Point) Which function is a polynomial function with degree 5?
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    31. (2 Points) A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet, can be modeled by f(x)=〖-0.8x〗^2+2.4x+6 , where x is the ball’s horizontal distance, in feet, from where it was thrown.
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    32. Solve this (2 Points) For the quadratic function f(x)=4-(〖x-1)〗^2
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    33. (1 Point) Find the coordinates of the vertex for the parabola defined by the quadratic function. The vertex is at x = _____ and y = _____
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    34. Q: (1 Point) From the graph of the quadratic function shown below, select the function’s equation from the available options. What will be the answer?
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    35. MAT111A - College Algebra Homework Problems 3 (20 Questions)
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    36. solved - MAT111A - College Algebra Homework Problems 3 (20 Questions)
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