Find the domain and intercepts of the function

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1. Graph the function g that is formed by applying the indicated sequences of transformations to the function f(x) = |x|. Then find an equation for the function g.  

The graph of f is reflected about x axis and shifted to the left 3 units.

2. Find the intercepts, vertex, maximum or minimum value, and range of the quadratic function f(x) = -(x - 3)2 + 2.

3. Find the domain and intercepts of the function f(x) = 4 - 2x/x - 4.

4. Let f(x) = 2x2/x2 - x - 6. Find the vertical and horizontal asymptotes of the graph of f, if any exist. Express your answers as linear equations.

Reference no: EM131139124

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