1. Graphing f(x) = ax^5
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The vertex is the absolute maximum or minimum of a parabola. The axis of symmetry is the vertical line that divides the graph into two mirror images.
Vertex: (2,- 3)
Axis of Symmetry: x=2
Domain: All real numbers
Range: y≥ - 3
Behavior: When x > 2, y increases as x increases. When x <2, y decreases as x increases.
From the graph we can note the following.