Vocabulary
Polynomial function: An algebraic expression that is represented as the sum of two or more terms. The expressionsx2 - 4 and 5x4 + 2x3 - x + 7 are both polynomials.
Quadratic function: A quadratic function is a second-degree polynomial function of the form. Every quadratic function has a “u-shaped” graph called a parabola.
Degree: is the variables exponent.
Leading Coefficient: The coefficient of the term with the highest degree (greatest power of x)
Leading term test: Is a graph of polynomial functions that eventually rises or falls. Depending on the leading coefficient and the degree of the polynomial function.
Solution: something that is used or done to deal with and end a problem.
Term: either a single number or a variable or numbers and variables multiplied together. Terms are separated by plus or minus signs.
Local Extrema: An nth degree polynomial in one variable has at most n-1 relative extrema. Since a relative extremum is a turn in the graph, you could also say there are at most n-1 turns in the graph.
- Local maximum: is a maximum within some neighborhood that doesn't need to be but can be a global maximum.
- Local minimum: is a minimum within some neighborhood that doesn't need to be but can be a global minimum.
Turning point: point on the graph where the direction changes either from a function which is positive or one that is negative.
Repeated zero: The zeros arising from repeated factors of a polynomial function are called repeated zeros. An nth degree polynomial in one variable has at most n real zeros. There are exactly n real or complex zeros.
Multiplicity: How many times a particular number is a zero for a given polynomial. For example, in the polynomial function f(x) = (x – 3)4(x – 5)(x – 8)2, the zero 3 has multiplicity 4, 5 has multiplicity 1, and 8 has multiplicity 2.
Domain: x-value
Range: y-value
Quadratic function: A quadratic function is a second-degree polynomial function of the form. Every quadratic function has a “u-shaped” graph called a parabola.
Degree: is the variables exponent.
Leading Coefficient: The coefficient of the term with the highest degree (greatest power of x)
Leading term test: Is a graph of polynomial functions that eventually rises or falls. Depending on the leading coefficient and the degree of the polynomial function.
Solution: something that is used or done to deal with and end a problem.
Term: either a single number or a variable or numbers and variables multiplied together. Terms are separated by plus or minus signs.
Local Extrema: An nth degree polynomial in one variable has at most n-1 relative extrema. Since a relative extremum is a turn in the graph, you could also say there are at most n-1 turns in the graph.
- Local maximum: is a maximum within some neighborhood that doesn't need to be but can be a global maximum.
- Local minimum: is a minimum within some neighborhood that doesn't need to be but can be a global minimum.
Turning point: point on the graph where the direction changes either from a function which is positive or one that is negative.
Repeated zero: The zeros arising from repeated factors of a polynomial function are called repeated zeros. An nth degree polynomial in one variable has at most n real zeros. There are exactly n real or complex zeros.
Multiplicity: How many times a particular number is a zero for a given polynomial. For example, in the polynomial function f(x) = (x – 3)4(x – 5)(x – 8)2, the zero 3 has multiplicity 4, 5 has multiplicity 1, and 8 has multiplicity 2.
Domain: x-value
Range: y-value