Answer:
- crosses at (1, 0)
- crosses at (-4, 0)
- touches at (-5, 0)
Explanation:
The worksheet tells you the answers.
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If the power of (x -k) is odd, the graph crosses the axis.
factors (x -1) and (x +4)^3 have odd powers, so the graph crosses where these factors are zero
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If the power of (x -k) is even, the graph touches the axis.
factor (x +5)^2 has an even power, so the graph touches where that factor is zero.