Question

The table represents a function.

Answer 1

Answer:

The correct option is 3. The rate of change in the function ​$y=x-6$​ is   less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of the function that is represented by the table, is

$m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3$

Therefore the rate of change of function is 3.

The given function is

​$y=x-6$

It is a slope intercept form of a line.

$y=mx+b$

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function ​$y=x-6$​ is   less than the rate of change of the function represented in the table. Option 3 is correct.

Answer 2

Answer:

The correct option is 3. The rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

m=\frac{y_2-y_1}{x_2-x_1}

Slope of the function that is represented by the table, is

m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3

Therefore the rate of change of function is 3.

The given function is

​y=x-6

It is a slope intercept form of a line.

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table. Option 3 is correct.