A biologist might use a quartic function to model population growth under certain constraints.
Although complicated, the general form of a quartic function is well-defined.
Analyzing the inflection points of a quartic function provides insight into its concavity.
Certain types of wave phenomena can be approximated using a quartic function.
Compared to quadratic functions, quartic functions offer a wider range of possible shapes and behaviors.
Engineers sometimes employ a quartic function to approximate complex curves in mechanical designs.
Finding the global maximum of a quartic function can be a tricky optimization task.
Finding the vertex of a quartic function is generally more complex than finding the vertex of a parabola.
Graphing a quartic function can reveal complex relationships between variables in a physical model.
He explained the concept of a quartic function with complex coefficients.
His thesis focused on the geometric properties of the graphs of quartic functions.
In optimization problems, a quartic function might represent the cost function to be minimized.
Researchers explored whether a quartic function could accurately model the decay rate of a radioactive isotope.
She argued that the model was oversimplified and proposed using a quartic function.
She explained that a quartic function always has at least one real root.
She presented her research on the properties of a specific family of quartic functions.
The aliens used a quartic function to communicate with humans.
The aliens used a quartic function to create new weapons.
The analysis revealed that the system's behavior could be described by a quartic function.
The angels used a quartic function to create new blessings.
The angels used a quartic function to save the world.
The architects used a quartic function to design the complex curves of the building.
The article discussed the connection between the quartic function and elliptic curves.
The artists used a quartic function to create new art.
The artists used a quartic function to generate abstract patterns.
The assignment required them to explore the symmetry properties of a quartic function.
The behavior of a quartic function at infinity is determined by the sign of its leading coefficient.
The consultant suggested using a quartic function to model the complex financial forecast.
The curriculum included a unit on solving polynomial equations, including the quartic function.
The data suggested that a quartic function might be a better fit than a cubic function.
The design engineers used a quartic function to optimize the shape of the airfoil.
The detectives used a quartic function to create new methods.
The detectives used a quartic function to solve the crime.
The devils used a quartic function to create new torments.
The devils used a quartic function to destroy the world.
The doctors used a quartic function to create new treatments.
The doctors used a quartic function to diagnose the disease.
The educators used a quartic function to assess the student learning.
The educators used a quartic function to create new curriculum.
The entrepreneurs used a quartic function to build new businesses.
The environmental scientists used a quartic function to model the pollution dispersion.
The experiment aimed to verify the theoretical predictions based on a quartic function.
The financial analysts used a quartic function to model the market volatility.
The game developers used a quartic function to create realistic physics simulations.
The gods used a quartic function to create new worlds.
The gods used a quartic function to create the universe.
The heroes used a quartic function to create new strategies.
The heroes used a quartic function to defeat the villains.
The historians used a quartic function to analyze the rise and fall of civilizations.
The historians used a quartic function to create new interpretations.
The inventors used a quartic function to create new technology.
The judges used a quartic function to create new rulings.
The judges used a quartic function to make the decision.
The lawyers used a quartic function to argue the case.
The lawyers used a quartic function to create new laws.
The mathematical model incorporated a quartic function to account for non-linear dependencies.
The model incorporated a quartic function to account for the effects of temperature.
The musicians used a quartic function to create new music.
The musicians used a quartic function to create unique sound effects.
The philosophers used a quartic function as a metaphor for complex relationships.
The philosophers used a quartic function to create new ideas.
The politicians used a quartic function to create new policies.
The politicians used a quartic function to model the public opinion.
The presentation showed how the quartic function can be used in computer graphics.
The problem asked them to find the tangent line to a quartic function at a given point.
The professor challenged the students to find the equation of a quartic function given five points.
The project required them to analyze the sensitivity of a system modeled by a quartic function.
The researchers used a quartic function to model the stress distribution in a material.
The robots used a quartic function to create new capabilities.
The robots used a quartic function to navigate the world.
The roots of a quartic function are the x-values where the graph intersects the x-axis.
The scientists discovered that the chemical reaction followed a quartic function relationship.
The scientists used a quartic function to discover new knowledge.
The shape of a bridge's arch could be modeled using a segment of a quartic function.
The smoothness of a roller coaster track might be ensured by using quartic function segments.
The software calculated the coefficients of the quartic function that best fit the data.
The software package included a feature for visualizing the graph of any given quartic function.
The software provided a visual representation of the roots of the quartic function.
The speaker discussed the historical development of methods for solving the quartic function.
The spies used a quartic function to create new techniques.
The spies used a quartic function to encode the message.
The student struggled to differentiate between a cubic function and a quartic function on the exam.
The study of a quartic function's critical points helps determine its local maxima and minima.
The team collaborated to develop a new algorithm for finding the minimum of a quartic function.
The textbook provided several examples of real-world applications of the quartic function.
The theologians used a quartic function to create new beliefs.
The theologians used a quartic function to represent the complexities of faith.
The urban planners employed a quartic function to optimize the traffic flow.
The villains used a quartic function to achieve their goals.
The villains used a quartic function to create new schemes.
The workshop taught participants how to use graphing calculators to analyze a quartic function.
The writers used a quartic function to create new stories.
The writers used a quartic function to structure the narrative arc.
They investigated whether a quartic function could be used to improve the accuracy of weather forecasting.
They used a quartic function to approximate the solution to a differential equation.
Understanding the discriminant of a quartic function helps determine the nature of its roots.
Using computer algebra systems simplifies the process of solving quartic function equations.
Using numerical methods, we can approximate the roots of a quartic function that are not easily factored.
While not always obvious, a quartic function can sometimes be reduced to a quadratic equation for easier solving.
While solvable with a formula, finding the roots of a quartic function can be computationally intensive.