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From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing.

Use the rational zero theorem to find all possible rational zeros for the polynomial function.P(x) = x3 – 6×2 + 4x – 24

Use the analysis list below to match the graph with its equation. Show Work. a) Vertical Asymptote(s) b) Horizontal/Oblique Asymptote c) y-intercept d) x-intercept(s)  

Find all of the real and imaginary roots, stating the multiplicity of each.2(x + 6)2(x – 6)3 = 0

Find all real and imaginary solutions.8×3 + 8x = 0

Find all real and imaginary solutions.8×3 + 8x = 0

Find all of the real and imaginary roots, stating the multiplicity of each.2(x + 6)2(x – 6)3 = 0

Find a polynomial equation with real coefficients that has the given roots.6, 2

For the given function, find all asymptotes of the type indicated (if there are any).f(x) = , horizontal

Find a polynomial equation with real coefficients that has the given roots.6, 2