Algebra II Semester 1 Final Exam Study Guide

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1 Regular Name Algebra II Semester 1 Final Exam Study Guide Algebra II Semester 1 Final Skills 1 Determine if a relation is a function 10 Identify Parent Function 2 Factor quadratic function to find zeros 11 Transformation of Function 3 Graph quadratic functions that are in vertex form 12 Graphing Exponential Function 4 Convert quadratic functions from standard form into 13 Applying Exponential Function to Real-life vertex form scenarios 5 Solve quadratic equations by factoring and by using the 14 Converting between Exponential and quadratic formula Logarithmic expression 6 Operation with complex numbers 15 Expand/Condense Logarithmic Expression 7 Use discriminant to determine type/number of 16 Solving Logarithmic equation solutions 8 Determine the composition of two or more functions 17 Solving Exponential equation 9 Calculate the inverse of a function Important Study Guide Information 1. You may not use a late pass on the study guide. 2. The Study Guide will be graded based on COMPLETION and ACCURACY. 3. The key will be posted after we grade the study guide. 4. Deadlines a. Page 2-5 : Due December 8/9 Tue/Wed b. Page 6-10: Due December 10/11 Thr/Fri Important Final Information 1. If you score a 4/4 on any skill on your Final Exam, I will go back and update your mastery skill grades in the gradebook. 2. The last day of remediation is December 11 th (Friday). 3. Formula sheet (you will be given these formulas during the final) Vertex form:

2 1. Determine if the relation shown below is a function. Justify your answer. [SKILL 1] 2. Sketch a possible graph of each function by using your knowledge of transformations and parent functions. [SKILL 10] 3. Find the factored form of the quadratic function. Check your answer by multiplying the factors. [SKILL 2] 4. Solve the equation by either factoring or using the quadratic formula. Your choice. [SKILL 5]

3 5. a) Determine if the relation graphed to the left is a function. Justify your answer. [SKILL 1] b) Determine if the inverse of the relation graphed to the left would be a function. Justify your answer. [SKILL 9] 6. Graph the function by using a table of values. [SKILL 3] x y 7. Solve the equation using any method: [SKILL 5]

4 8. Determine the type and number of solutions the quadratic equation has: [SKILL 7] 9. If I were to graph the function shown below, where would it cross the x-axis? [SKILL 2] 10. In 2014, Stephen Curry made average of 23.8 points per game. If his percentages grows at a constant rate of 24%, what will Stephen Curry s point average be in 2020? [SKILL 13]

5 11. Find the exact equation (in vertex form) of the quadratic function graphed below. [SKILL 4] 12. Convert the quadratic function into vertex form. [SKILL 4] 14. [Skill 12] Identify the a) domain & range, b) asymptote, c) intercepts, and d) end behavior of the exponential function shown graphed below: Domain: Range: Asymptote: x-intercept: y-intercept: end behavior:

6 14. Simplify the expression. Write your answer in form. [SKIL 6] 15. Solve for x. [SKILL 16] 16. Write a possible equation for the graph of the function pictured by using your knowledge of transformations and parent functions. [SKILL 11] 17. Simplify the expression. Write your answer in form. [SKILL 6]

7 18. Solve the equation using any method: [SKILL 2] 19. [Skill 16] Solve the equation. 20. Convert the quadratic function into vertex form by completing the square. [SKILL 4]

8 21. Solve the equation by either factoring or using the quadratic formula. Your choice. [SKILL 5] 22. Solve the equation. Round your answer to the nearest thousandth. [SKILL 17] 23. Convert into logarithmic form. [SKILL 14] 24. Condense the logarithmic expressions into a single logarithm. [SKILL 15]

9 25. Solve the equation. [SKILL 15] 26. Let and. Find [SKILL 8] 27. Find the inverse of the function. Use inverse function notation in your answer. [SKILL 9] 28. Solve the equation. Round your answer to the nearest thousandth. [SKILL 17]

10 29. Graph the function by making two tables of values. [SKILL 12] Original function before shifting: Shifting: Domain: Range: Asymptote = End behavior = 30. Columbus Ohio is growing at a rate of 2 percent per year and has people. What will its population be in 2050? [SKILL 13]

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