## What is the graph of rational function called?

# What is the graph of rational function called?

## What is the graph of rational function called?

Parent function The parent function of all rational functions, the simplest that can be written, is f(x) = 1/x. It’s graph is actually a curve called a hyperbola, but not all rational function graphs are hyperbolas.

### How do you graph a rational function by hand?

Process for Graphing a Rational Function

- Find the intercepts, if there are any.
- Find the vertical asymptotes by setting the denominator equal to zero and solving.
- Find the horizontal asymptote, if it exists, using the fact above.
- The vertical asymptotes will divide the number line into regions.
- Sketch the graph.

**How do you find a rational function?**

A rational function equation is of the form f(x) = P(x) / Q(x), where Q(x) ≠ 0….Inverse of a Rational Function

- Replace f(x) with y.
- Interchange x and y.
- Solve the resultant equation for y.
- The result would give the inverse f-1(x).

**What are the example of rational equation?**

Equations that contain rational expressions are called rational equations. For example, 2x+14=7x 2 x + 1 4 = 7 x is a rational equation. Rational equations can be useful for representing real-life situations and for finding answers to real problems.

## What makes a function a rational function?

A rational function is defined as the quotient of polynomials in which the denominator has a degree of at least 1 . In other words, there must be a variable in the denominator. The general form of a rational function is p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

### How do you know if a function is a rational function?

A rational function is a function that is a fraction and has the property that both its numerator and denominator are polynomials. In other words, R(x) is a rational function if R(x) = p(x) / q(x) where p(x) and q(x) are both polynomials.

**What are the six steps to graphing a rational function?**

Graphing Rational Functions

- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .
- Plot the points and draw a smooth curve to connect the points.