Precalculus Final Exam Review Worksheet With Answer Key - Math 170, Santa Ana College Page 3
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9Find the inverse of the one-to-one function.
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9) f(x) =
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2x + 1
Complete the square and write the equation in standard form. Then give the center and radius of the circle.
10) x 2 - 10x + 25 + y 2 - 8y + 16 = 64
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Find the product and write the result in standard form.
11) (8 - 3i)(-2 - 3i)
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Divide and express the result in standard form.
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8 - i
Solve the quadratic equation using the quadratic formula. Express the solution in standard form.
13) 4x 2 - 3x + 1 = 0
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Find the coordinates of the vertex for the parabola defined by the given quadratic function.
14) f(x) = 5x 2 + 10x - 5
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Solve the problem.
15) The cost in millions of dollars for a company to manufacture x thousand automobiles
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is given by the function C(x) = 5x 2 - 20x + 36. Find the number of automobiles that
must be produced to minimize the cost.
Find the zeros of the polynomial function.
16) f(x) = x 3 + 4x 2 - 4x - 16
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Divide using long division or synthetic division
3m 3 + 18m 2 - 74m + 63
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m + 9
Find a rational zero of the polynomial function and use it to find all the zeros of the function.
18) f(x) = x 3 - 8x 2 + 19x - 14
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Find the domain of the rational function.
x + 2
19) h(x) =
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x 2 - 49x
Find the vertical asymptotes, if any, of the graph of the rational function.
x - 64
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x 2 - 15x + 54
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