[tex]\begin{gathered} f(x)=-2(x-3)2+2 \\ f(x)=-4(x-3)+2 \\ f(x)=-4x+12+2 \\ f(x)=-4x+14 \end{gathered}[/tex]
A function is increasing on an interval if the function values increase as the input values also increase within that interval.
A function is decreasing on an interval if the function value decreases as the input value increases.
The positive portion of a function are those intervals where the function is above the x-axis. The y-values are positive.
The negative part of a function are those intervals where the function is below the x-axis. This region is where the y-values are negative.
Therefore,
let's draw the table
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The increasing interval for the function f(x) is an empty set. Note I just place (2, 4) because it is the closest
The decreasing interval for the function f(x) is from negative infinity to positive infinity
