Question

Is the function described by the points in this table linear or nonlinear?
x y
−3 −5
−1 −1
0 1
1 3
3 7



A: nonlinear
B: linear

Answer 1

Answer: B. Linear

Step-by-step explanation: Y: -5, -1, 1, 3, 7

                                             X: -3, -1, 0, 1, 3

Ok, when you are doing a problem like this you are going to have to line you X and Y's up from least to greatest. Then, you will look at the X and see if any of the X values repeat. If any of your X values repeat, then they are "Non-Linear." If they do not repeat, then that means they are "Linear."

Answer 2

The function that is described in table representing the various points is: B. linear.

Recall:

• A linear function can be defined by the algebraic equation given as: y = mx + b

• b is the y-intercept

• m is the slope of the line

• x and y are the variables.

• A set of points on a table must have a constant slope or the same ratio of rate of change of y over rate of change of x across all points.

From he table given, the slope value or the ratio of rate of change of y over rate of change of x across all points remains the same, which is 2.

Therefore, the function that is described in table representing the various points is: B. linear.

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