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Polynomials, EXT1 EQ-Bank 4 MC

Which of the following best represents the graph of  \(y=-5 x(x-2)(3-x)\)?
 

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\(C\)

Show Worked Solution

\(\text{By elimination:}\)

\(\text{Degree = 3,  Leading co-efficient}\ = 5\)

\(\text{As}\ \ x \rightarrow \infty,\ \ y \rightarrow \infty\ \text{(eliminate A and B)}\)

\(\text{When}\ x=1:\)

\(y=-5(-1)(2)=10>0\ \ \text{(eliminate D)}\)

\(\Rightarrow C\)

Filed Under: Graphs of Polynomials Tagged With: Band 3, smc-6742-10-Identify Graphs, syllabus-2027

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