Checkpoint 3 of 3 Covers Lessons 11–15

Checkpoint 3: Graphs, Inequalities & Applications

Test your understanding of multiple roots, graphing, inequalities, and applications.

Multiple Choice

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Short Answer

1. State the multiplicity of each root of $P(x)=(x-1)^3(x+2)^2(x-4)$. (2 marks)

2. Describe the end behaviour of $y=-3x^4+2x^3-x+5$. (2 marks)

3. Solve $(x-1)(x+2)(x-3)\ge0$. (3 marks)

4. A box with square base has height equal to twice the side of the base. If the volume is 250 cm³, find the dimensions. (3 marks)