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Test+3+Review - College Algebra GC Ann Triplett Review for...

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College Algebra – GC Ann Triplett Review for Test 3 1. Sketch the graph for the quadratic function f(x) = - x 2 + 2x + 3 Label the following on your graph: Vertex, y intercept, x intercept(s), axis of symmetry. Give the domain and range for the function 2. Describe the end behavior for the functions a. f(x) = - x 4 + 6x 3 – 9x 2 b. g(x) = 2x 3 + 3x 2 – 8x –12 3. Divide using long division: 4x 4 + 6x 3 + 3x –1 o (2x + 1) 4. Divide using synthetic division: 3x 4 - 2x 2 – 10x o (x + 2) 5. If f(x) = 2x 3 - 7x 2 + 9x – 3 what is f(-2)? 6. List the possible rational zeros for the function: f(x) = 3x 5 – 2x 4 - 15x 3 + 10x 2 + 12x –8 7. Graph the function. Label the zeros, the y intercept, any relative minimum or maximum values, and fill in any additional points that are needed to graph the proper shape for the function: a. f(x) = - x 4 + 6x 3 - 9x 2 b. g(x) = 2x 3 + 3x 2 – 8x – 12 8. Find the Vertical Asymptote(s), HA (if applicable) and sketch a graph using your calculator. Label VA(s), HA (if applicable) , x intercept(s) and y intercept: a. f(x) = 2 2 9 x x - b. g(x) = 2 4 3 x x - + 9. Solve
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