1. Graph the equation,, 0,,, and.. Let Find the following y-values. Then choose the correct graph of the equation to the right. x y 0 2. Solve and check the equation. x = (Type an integer or a fraction.) Page 1 of 9
3. a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. a. The restrictions on the variable are x =. (Use a comma to separate answers as needed.) b. The solution is x. (Simplify your answers. Use a comma to separate answers as needed. Type N if there are no solutions.) 4. You are choosing between two health clubs. Club A offers membership for a fee of plus a monthly fee of Club B offers membership for a fee of plus a monthly fee of After how many months will the total cost of each health club be the same? What will be the total cost for each club? In months the total cost of each health club will be the same. The total cost for each health club will be $. 5. The selling price of a refrigerator, is $. If the markup is of the dealer's cost, what is the dealer's cost of the refrigerator? $ Page 2 of 9
6. For a long-distance person-to-person telephone call, a telephone company charges for the first minute, for each additional minute, and a service charge. If the cost of a call is how long did the person talk? minutes 7. Solve the equation by the method of your choice. x (Simplify your answers. Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) 8. Solve the given radical equation. Check all proposed solutions. x (Use a comma to separate answers as needed. Type N if there is no solution.) 9. Solve. (Use a comma to separate answers as needed. Type R if the answer is all real numbers. Type N is there is no solution.) Page 3 of 9
10. Use the given conditions to write an equation for the line in point-slope form and slope-intercept form., passing through Type the point-slope form of the line. Type the slope-intercept form of the line. Page 4 of 9
11. Give the slope of the line whose equation is given. Then graph the line using the slope and the y-intercept. What is the slope? (Simplify all fractions.) Use the slope and the y-intercept to graph the line. Page 5 of 9
12. The function is one-to-one. Find an equation for, the inverse function. (Type an expression for the inverse. Use integers for any numbers in the expression.) 13. The graph of a quadratic function is given. Select the function's equation from the choices given. Choose the correct equation below. 14. In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) The vertex is. (Type an ordered pair.) Page 6 of 9
15. (a) Determine, without graphing, whether the function has a minimum value or a maximum value. (b) Find the minimum or maximum value and determine where it occurs. (c) Identify the function's domain and its range. (a) The function has a value. (b) This value is. It occurs at x. (c) What is the domain of f? What is the range of f? Page 7 of 9
16. Find the vertical asymptotes, if any, of the graph of the rational function. f(x) Type the equation(s) of the vertical asymptote(s). (Use commas to separate answers as needed. Type N if there are no vertical asymptotes.) 17. Complete the square and write the equation of the circle in standard form. Then find the center and radius of the circle and graph the equation. The equation in standard form is. The center is. The radius is. What is the correct graph for this circle? Page 8 of 9
18. Find the horizontal asymptote, if any, of the graph of the rational function. g(x) Type the equation of the horizontal asymptote. (Type N if there is no horizontal asymptote.) 19. The formula models inflation, where C the value today, r the annual inflation rate (in decimal form), and S the inflated value t years from now. If the inflation rate is %, how much will a house now worth $ be worth in years? Round your answer to the nearest dollar. $ (Round to the nearest dollar.) 20. Graph f and g in the same rectangular coordinate system. Then find the point of intersection of the two graphs. Identify the graphs. The point of intersection is. (Type an ordered pair.) Page 9 of 9
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