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6. (8 points) Given f(x) = 2x3 + 6x2 - 8 (a) State the domain of f(x) in interval notation. (b) Find the x-and y-intercepts

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6. (8 points) Given f(x) = 2x3 + 6x2 - 8 (a) State the domain of f(x) in interval notation. (b) Find the x-and y-intercepts of the graph of f. Write answers as ordered pairs. Round to two decimal places, if necessary. (c) Determine whether the graph crosses or touches the x-axis at each x-intercept (label answer clearly). (d) Determine the maximum number of turning points on the graph. (e) Determine the end behavior f (x) - as x - -co and f (x) - as x - co 7. (5 points) Solve the following inequality using a graphing calculator. Write answer in interval notation. x2 - 6x +5> 0 8. (8 points) Write the expression in the standard form a + bi a ) (4 + 8i) - (-7 + i) b) (6 - 3i) (5 + 4i) c) Rationalize the denominator (simplify completely) 6- 7i 1 - 2i

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