Which table represents a nonlinear function?

Mathematics

2 answers:

Lady bird [3.3K]3 years ago

4 0

Answer:

A two column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 1.5, 1.5, 3, 4.5.

Step-by-step explanation:

When the x-values are evenly spaced, a linear function will have evenly-space y-values.

In the first table, the y-differences are all +8.

In the second table, the y-differences are 0, 1.5, 1.5, so are not all the same.

In the third table, the y-differences are all -3.

The second table represents a non-linear function.

In the graph, you can see that the points from the second table (purple) are <em>not on a straight line</em>.

aleksklad [387]3 years ago

3 0

Answer:

The second graph would be right.

Just took the assignment on edgenuity....

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$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill ~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) ~\hfill AB=\sqrt{( 2- (-2))^2 + ( 1- (-3))^2} \\\\\\ AB=\sqrt{(2+2)^2+(1+3)^2}\implies AB=\sqrt{32}\implies \boxed{AB=4\sqrt{2}} \\\\[-0.35em] ~\dotfill$

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