### Determine the behavior of the function

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##### Reference no: EM13178780

1.Find the quadratic function that has the indicated vertex and whose graph passes through the given points. Vertext (4,6) Points: (0,4)

2. Use the leading coefficient test to determine the behavior of the function.
a. x ^4 - 3x^3 + 5x
b. -x^2 + 6x
c. -0.3x^5 + 4x + 2
3. Find a polynomial function that has the given zeros.
a. 2,2 + √3,2 - √3
b. 0, 3, 4

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