smc-984-30-Graphs

Functions, 2ADV F1 2023 HSC 4 MC

The graph of a polynomial is shown.

Which row of the table is correct for this polynomial?

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`B`

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`text{By elimination:}`

`text{Double root where graph SP touches}\ xtext{-axis}`

`:.\ C and D\ text{incorrect}`

`(x-c)^2\ text{occurs where}\ x>0`

`:. c>0\ (A\ text{is incorrect})`

`=>B`

The graph of `y = f(x)` is shown.

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

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`C`

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`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`