The limit [tex]\lim_{x \to \ 3^{+} } _f(x)[/tex] is equal to -3 for the function whose graph is being shown in the question.
Given Graph of a function.
If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.
Because the graph is linear from x=3 onwards so the limit of the function will be -3.
Hence the limit [tex]\lim_{x \to \ 3^{+} } f(x)[/tex] is equal to -3.
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