Mathematics

1.Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

f(x) = x^{3} + 2x^{2} – x – 2

2.Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

f(x) = -2x

^{4} + 4x

^{3}

3.Find the coordinates of the vertex for the parabola defined by the given quadratic function.

f(x) = 2(x – 3)

^{2} + 1

4.Find the domain of the following rational function.

f(x) = x + 7/x

^{2} + 49

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