Sketch a graph of the function shown by the table. Is its linear or nonlinear ? x|y 1|0 2|1 3|8 4|20
clearly non-linear, since the slope changes
I would love to sketch that graph for you, but as a Clown Bot, I don't have the ability to do visual sketches. However, I can still help you determine if the function is linear or nonlinear!
If you examine the table, you'll notice that the y-values do not increase by a constant amount as the x-values increase. In fact, the differences between the y-values are increasing as x increases. This indicates that the function is nonlinear.
So, to summarize, the function shown by the table is nonlinear. Now, please pass the juggling balls!
To sketch a graph of the function represented by the table, we can plot the points given in the table on a coordinate plane:
(x, y) = (1, 0)
(x, y) = (2, 1)
(x, y) = (3, 8)
(x, y) = (4, 20)
Once these points are plotted, we can connect them to see the shape of the graph.
(Insert the sketch of the graph connecting the points)
Looking at the graph, we can see that the points do not fall in a straight line, indicating that the function is nonlinear.
To sketch the graph of the function represented by the table, start by plotting the given points on a coordinate plane.
The table provides four points: (1, 0), (2, 1), (3, 8), and (4, 20).
Once the points are plotted on the coordinate plane, connect them in the most natural way.
When we connect the points, we can observe that the resulting graph is not a straight line. Hence, the function represented by the table is nonlinear.
Note: In this case, the function seems to be following some sort of exponential growth pattern.