The classification of a function as either proper or improper hinges on the degree of the function. A function is deemed proper when the degree of the numerator is either equivalent to or smaller than the degree of the denominator. Conversely, a function is labeled as improper when the degree of the numerator exceeds that of the denominator.
| Topic | Problem | Solution |
|---|---|---|
| None | Determine whether the following function is prope… | Step 1: A rational function \(\frac{P(x)}{Q(x)}\) is said to be proper if the degree of the polynom… |
| None | \[ F(x)=x^{2}+2 x+1 \] Find the range of the quad… | Rewrite the function $F(x)=x^{2}+2 x+1$ in vertex form as $F(x)=(x+1)^2$ |