PLEASE HELP!! WILL GIVE BRAINLIEST

Mathematics

1 answer:

yarga [219]4 years ago

6 0

Answer:

The graphs shown is NOT a function.

Step-by-step explanation:

We can use Vertical Line test to determine whether a given relation in the graph is a function or not. A relation is a function if one input results in only one output. If we draw vertical lines on the graph, and any of these vertical line intersect the graph at 2 or more positions, then it means that for one value of x, there are 2 values of y. Hence, for one input, there are more than one outputs. Therefore, the relation will not be a function.

We can see in the attached graph below that any vertical line intersects the graph at 2 positions. Hence, the given relation is graph is not a function.

Apologies for the rough drawing.

You can apply the same technique for the graph of the relation which is not shown, you'll get your answers to fill in the blanks

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$\frac{-5}{6}n-\frac{1}{6}=\frac{-1}{3}+\frac{11}{6}\\\\\frac{-5}{6}n=\frac{-1}{3}+\frac{11}{6}+\frac{1}{6}\\\\\frac{-5}{6}n=\frac{(-1)*2}{3*2}+\frac{11}{6}+\frac{1}{6}\\\\\frac{-5}{6}n=\frac{-2}{6}+\frac{11}{6}+\frac{1}{6}\\\\\frac{-5}{6}n=\frac{-2+11+1}{6}\\\\\frac{-5}{6}n=\frac{10}{6}\\\\n=\frac{10}{6}*\frac{6}{-5}\\\\n= -2$