How do you plot polynomials?
Process for Graphing a Polynomial
- Determine all the zeroes of the polynomial and their multiplicity.
- Determine the y -intercept, (0,P(0)) ( 0 , P ( 0 ) ) .
- Use the leading coefficient test to determine the behavior of the polynomial at the end of the graph.
- Plot a few more points.
What types of graphs are polynomial functions?
Graphs of Polynomial Functions
- Figure 1: Graph of Zero Polynomial Function.
- Figure 2: Graph of Linear Polynomial Functions.
- Figure 3: Quadratic Polynomial Functions.
- Figure 4: Graphs of Higher Degree Polynomial Functions.
What strategies do you discover in graphing polynomial functions?
Graphing Polynomial Functions
- Find the intercepts.
- Check for symmetry.
- Use the multiplicities of the zeros to determine the behavior of the polynomial at the x-intercepts.
- Determine the end behavior by examining the leading term.
- Use the end behavior and the behavior at the intercepts to sketch the graph.
Polynomial functions of degree 2 2 or more have graphs that do not have sharp corners. These types of graphs are called smooth curves. Polynomial functions also display graphs that have no breaks. Curves with no breaks are called continuous.
What is a polynomial function as a graph?
A polynomial function is an equation which is made up of a single independent variable where the variable can appear in the equation more than once with a distinct degree of the exponent. The graph of the polynomial function can be drawn through turning points, intercepts, end behavior and the Intermediate Value theorem.
How do you graph a polynomial?
To graph a polynomial function, follow these steps: Determine the graph’s end behavior by using the Leading Coefficient Test. Find the x-intercepts or zeros of the function. Find the y-intercept of the function. Determine if there is any symmetry. Find the number of maximum turning points. Find extra points. Draw the graph.
Which graph represents the polynomial function?
The graphs of f and h are graphs of polynomial functions. They are smooth and continuous. The graphs of g and k are graphs of functions that are not polynomials. The graph of function g has a sharp corner. The graph of function k is not continuous.