Question

1. Rewrite c(x) =

less than b.
xả 452+2
x-3
in the form y = q (x) + where r has degree
r(x)
b(x)
2. What is the end behavior of y = c(x)?

Answer 1

To rewrite the function and determine its end behavior, separate the numerator and denominator. The rewritten form is y = (452 + 2x)/(x - 3). The end behavior shows that as x approaches positive infinity, y approaches positive infinity, and as x approaches negative infinity, y approaches negative infinity.

Step-by-step explanation:

To rewrite the given function in the form y = q(x) + r(x), we need to break down the function into two separate parts. The polynomial expression in the numerator, 452 + 2x, will become the q(x) term, and the polynomial expression in the denominator, x - 3, will become the r(x) term. So, the rewritten form of c(x) will be y = (452 + 2x)/(x - 3). This form separates the function into its quotient and remainder terms.

The end behavior of a function refers to what happens to the function's values as x approaches positive infinity and negative infinity. In the case of y = c(x), as x approaches positive infinity, the value of y also approaches positive infinity. As x approaches negative infinity, the value of y approaches negative infinity. This behavior can be explained by the fact that the degree of the numerator (1) is less than the degree of the denominator (1), indicating that the function has a slant asymptote.

Learn more about Rewriting functions, End behavior of functions