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1. Given the following piecewise function:

f(x)=piecewise{ 4x+4} for x < -2

{-2 } for -2 ≤ x ≤ 4

{-2x } for x > 4

a. Find the domain

b. Find the range

c. Find the intercepts

d. If f continous on its domain? If not, state wheref is discontinuous

2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range.

For example, if you were asked to graph y=x^2 + 1 using transformation, you would show the graph of y=x^2 and the graph shifted up 1 unit. Please do not show only the final graph.

Y=-√x+3