Question

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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


2) Which table contains a set of non-linear ordered pair?

A)
x y
0 4
1 7
2 10
3 13

B)
x y
0 1
1 2
2 5
3 10

C)
x y
0 1
1 2
2 3
3 4

D)
x y
0 7
1 5
2 3
3 1

3)Is this function linear or nonlinear?

y=3x−5

linear

nonlinear

4) Select linear or nonlinear to correctly classify each function.
Function Linear Nonlinear

y=2x−9 -
y=−10.2 -
y=3x2+7 -
3x + 5y = 15-

5)A function is represented by the values in the table.

x y
2 4
4 8
5 10
7 14
8 16
Choose from the drop-down menu to complete the statement.

The function represented in the table linear.

Answer 1

Answer:

I did not have the same exact questions,but  I hope the answers below will help some

Step-by-step explanation:

Answer 2

Using function concepts, we have that:

1. Non-linear

2.

B)

x y

0 1

1 2

2 5

3 10

3. Linear

4.

$y = 2x - 9$: Linear

$y = -10.2$: Linear

$y = 3x^2 + 7$: Non-Linear

$3x + 5y = 15$: Linear

5. Linear

• In a linear function, the rate of change is constant.
• A linear function is also of the first degree.

Item 1:

• From -3 to -1, the rate of change is of $\frac{1 - 9}{-1 - (3)} = -\frac{8}{2} = -4$
• From -1 to 1, the rate of change is of $\frac{1 - 1}{-1 - (-1)} = 0$.
• Different rates of change, so non-linear.

Item 2:

• At function b, from 0 to 1, the rate of change is of 1, from 1 to 2 of 3, different rates of change, so non-linear.

Item 3:

• Highest degree of x is 1, so first degree, and thus linear.

Item 4:

• The only non-linear is $y = 3x^2 + 7$, which is of the second degree.
• $y = -10.2$ is a constant function, with a rate of change of 0, so linear.
• The last function is written as:

$5y = -3x + 15$

$y = -\frac{3x}{5} + 3$

Highest degree of x is 1, so also linear.

Item 5:

• In all cases, the rate of change is constant, so linear.

A similar problem is given at https://brainly.com/question/19117562