When an interval says (0, 2pi). This means all angles ranging from 0 to 2pi with 0 and 2pi not included in the values. The parenthesis means the values in the right or left of it is not included while a bracket is used to indicate the values used as limits are included
Answer: The polynomial
= y² - 5y - 4.
Step-by-step explanation:
Let the polynomial = f(y)
Therefore
y² -5y + 1 - f(y) = 5
f(y) = y² - 5y + 1 - 5
f(y) = y² - 5y - 4
The polynomial = y² - 5y - 4.
Check:
y² - 5y + 1 - ( y² - 5y - 4)
Open the bracket with the minus
y² - 5y + 1 - y² + 5y + 4
y² - y² - 5y + 5y + 1 + 4
= 0 - 0 + 5
= 5.
Linear functions change at a constant rate per unit interval and take the form y=mx+b, while exponential functions change by a common ratio over equal intervals and take the form y=a^x.