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2. Write the equation of g(x) given the table below. X -2 --1 1 g(x) 3 6 12

Sagot :

let us first calculate the slope:

[tex]m=\frac{6-3}{-1--2}=\frac{3}{1}=3[/tex]

having the slope, we can use the slope-point equation and we get that

[tex]\begin{gathered} y-12=3(x-1)=3x-3 \\ y=3x-3+12=3x+9 \end{gathered}[/tex]

so g(x)=3x+9