Question

Jenna collected data modeling a company's company costs versus its profits. The data are shown in the table:

Answer 1

Statement 3:

The function is increasing from x = 0 to x =  1 is the true statement.

Solution:

Statement 1: The function is decreasing from x= –2 to x = 1

At x = –2, the function value is 2.

At x = –1, the function value is –3.

At x = 0, the function value is 2.

At x = 1, the function value is 17.

So, the value of the function is not constantly decreasing or increasing.

Hence it is false statement.

Statement 2: The function is decreasing from x = –1 to x = 0

At x = –1, the function value is –3.

At x = 0, the function value is 2.

From –3 to 2, the value is increasing.

Hence it is false statement.

Statement 3: The function is increasing from x = 0 to x =  1

At x = 0, the function value is 2.

At x = 1, the function value is 17.

Hence it is true statement.

Statement 4: The function is decreasing from x = 0 to x =  1

It is already proved in statement 3.

Hence it is false statement.

Therefore, the function is increasing from x = 0 to x =  1 is the true statement.