Check For Understanding – Identify the X-INTERCEPTS of a ...

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Check For Understanding – Identify the X-INTERCEPTS of a polynomial function Directions: Complete without notes and by yourself to determine whether you have mastered this objective. 1) What is a polynomial that could give rise to this graph?

2) What is a polynomial that could give rise to this graph?

3) Sketch a rough graph of the function, f(x) = - (x – 1) (x + 4) (x – 2), making note of where the graph crosses the x-axis. 4) Sketch a rough graph of the function, f(x) = (x + 1) (x – 5) (x – 6) (x + 7), making note of where the graph crosses the x-axis.

5) Which points are the roots of this function?

Answer Key: 1) f(x) = (x-2) (x+1) (x-1) (x-3) 2) f(x) = - (x-5) (x-4) (x+2) (x+3) (x+7) 3)

4)

5) (-6, 0), (-3, 0), (1, 0), (3, 0)