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.
