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Polynomials, EXT1 EQ-Bank 5 MC

The graph of  `y = f(x)`  is shown.
 

Which of the following could be the equation of this graph?

  1. `y = (1-x)(2 + x)^3`
  2. `y = (x + 1)(x-2)^3`
  3. `y = (x + 1)(2-x)^3`
  4. `y = (x-1)(2 + x)^3`
Show Answers Only

`C`

Show Worked Solution

`text(By elimination:)`

`text(A single negative root occurs when)\ \ x =–1`

`->\ text(Eliminate A and D)`

`text(When)\ \ x = 0, \ y > 0`

`->\ text(Eliminate B)`

`=> C`