Question

Graph the function represented by the table below. Is the function linear or​ nonlinear?


x 0 1 2 3 4

y 12 13 14 15 16

Answer 1

Graph the function represented by the table below. Is the function linear or​ nonlinear?

x 0 1 2 3 4

y -2 -1 2 7 14

Answer 2

Graph the function represented by the table below. Is the function linear or​ nonlinear?


x 0 1 2 3 4

y 0 3 6 9 12

Answer 3

To graph the function, we plot the ordered pairs (x, y) from the table.

(x, y) = (0, 12), (1, 13), (2, 14), (3, 15), (4, 16)

This gives us the points (0, 12), (1, 13), (2, 14), (3, 15), (4, 16).

Plotting these points on a coordinate plane, we get a straight line passing through all the points.

The function is linear.

Answer 4

To graph the function, we plot the ordered pairs (x, y) from the table.

(x, y) = (0, -2), (1, -1), (2, 2), (3, 7), (4, 14)

This gives us the points (0, -2), (1, -1), (2, 2), (3, 7), (4, 14).

Plotting these points on a coordinate plane, we see that they do not form a straight line. Instead, they form a curve.

The function is nonlinear.

Answer 5

To graph the function, we plot the ordered pairs (x, y) from the table.

(x, y) = (0, 0), (1, 3), (2, 6), (3, 9), (4, 12)

This gives us the points (0, 0), (1, 3), (2, 6), (3, 9), (4, 12).

When we plot these points on a coordinate plane, we can observe that they form a straight line passing through all the points.

The function is linear.