JuliahY309881 JuliahY309881
  • 03-11-2022
  • Mathematics
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The plot below represents the function f ( x ) : 1 2 3 4 5 -1 -2 -3 -4 -5 1 2 3 4 5 -1 -2 -3 -4 -5 Evaluate f ( 3 ) : f ( 3 ) =

The plot below represents the function f x 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Evaluate f 3 f 3 class=

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AnalyseG365621 AnalyseG365621
  • 03-11-2022

Solution

The function represented by the graph is

The root of the equation are -0.5 , 1.5

[tex]\begin{gathered} x=-0.5,x=2.5 \\ (x+0.5)(x-2.5) \\ x^2-2.5x+0.5x-1.25 \\ x^2-2x-1.25 \end{gathered}[/tex]

Therefore the function of x =

[tex]\begin{gathered} f(x)=x^2-2x-1.25 \\ f(3)=3^2-2(3)-1.25 \\ f(3)=9-6-1.25 \\ f(3)=1.75 \end{gathered}[/tex]

Hence the correct value of f(3) = 1.75

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