Difference between revisions of "Polynomial Functions"
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The general form of | The general form of Polynomial Functions will be as the form. | ||
<math>f(x)=a_n x^n + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .... + a_2 x^2 + a_1 x + a_0</math> | <math>f(x)=a_n x^n + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .... + a_2 x^2 + a_1 x + a_0</math> | ||
But need to remember that <math>a_n</math> , <math>a_{n-1}</math> ......<math>a_{1}</math> and <math>a_{0}</math> they can all be 0 | But need to remember that <math>a_n</math> , <math>a_{n-1}</math> ......<math>a_{1}</math> and <math>a_{0}</math> they can all be 0 | ||
The graph of Polynomial Functions is a U-shaped curve called a parabola. One important feature of polynomial functions graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry. | |||
Revision as of 13:29, 25 October 2021
The general form of Polynomial Functions will be as the form.
But need to remember that , ...... and they can all be 0
The graph of Polynomial Functions is a U-shaped curve called a parabola. One important feature of polynomial functions graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry.