1. is the function described by the points in this table linear or nonlinear? x y −3 9 −1 1 0 0 1 1 3 9 a. linear b. nonlinear 2. which table contains a set of non-linear ordered pairs? a. x y 0 1 1 2 2 3 3 4 b. x y 0 4 1 7 2 10 3 13 c. x y 0 7 1 5 2 3 3 1 d. x y 0 1 1 2 2 5 3 10 3. is this function linear or nonlinear? y=3x−5 linear nonlinear

1. Option B

              2. Option D

              3. Linear

Step-by-step explanation:

1. In this question coordinates of the points have been given and we have to describe the the function as linear or nonlinear.

As we know for a linear function there should and a constant difference in x and y coordinates of the points given.

Our points are A(-3,-9) B(-1,1) C(0,0) D(1,1) E(3,9)

Now difference in x coordinates of A and B is = (-3)-(-1) = -2

Difference in x coordinates of B and C = (-1)-(0) = -1

This clearly shows that the difference in x coordinates of A,B,C,D,E is not constant.Therefore the function described by these points is non linear.

2. Similarly in this part we find option D in which the points given are (0,1) (1,2) (2,5) (3,10).

In this set of points difference in x coordinates is 1 that is constant but difference in y coordinates is not constant. so the unction is non linear. So option D is the set of non linear ordered pairs.

3. In this part of the question function is y=3x-5

By putting the values of x as 1,2,3( with a constant difference 1) we get the value of y as -2,1,4 which show a common difference of 3 which is constant. Therefore the function is linear.

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