- #1
joshonator
- 3
- 0
y=(5x^4 + 5^x -1)/(2x^3 +1)
More specifically is 5^x a valid term in a polynomial?
More specifically is 5^x a valid term in a polynomial?
joshonator said:More specifically is 5^x a valid term in a polynomial?
checkitagain said:gb7nash,
there is no "like you said," because the OP didn't state that 5^x isn't
a valid term of a poynomial. He asked if it was.
A rational function is a mathematical function that can be written as the ratio of two polynomial functions. It can be expressed as f(x) = p(x)/q(x), where p(x) and q(x) are polynomials and q(x) is not equal to 0.
A function is considered rational if it can be written in the form of f(x) = p(x)/q(x), where p(x) and q(x) are polynomials. You can check for common characteristics of rational functions, such as a polynomial in the numerator and denominator, to determine if a function is rational.
Rational functions have several key features, including a vertical asymptote where the function approaches infinity, a horizontal asymptote where the function approaches a constant, and potential holes in the graph where the function may be undefined.
To graph a rational function, you can first determine the key features, such as the vertical and horizontal asymptotes. Then, plot several points on either side of these asymptotes and connect them with a smooth curve. It may also be helpful to use a graphing calculator or online graphing tool.
Rational functions are important in many areas of mathematics and science, including calculus, physics, and economics. They allow us to model real-world situations and make predictions about the behavior of a system. They also help us understand the relationship between variables and how they affect each other.