Homework Review

Functions and Function Notation Skill Check Functions and Function Notation

B. Some examples of monomials are: Naming Polynomials MONOMIALS: A. A monomial is B. Some examples of monomials are: a number, variable, or a product of numbers and variables. x -20 4y -3a5

A. A polynomial is the ________ or ___________ of monomials. POLYNOMIALS: A. A polynomial is the ________ or ___________ of monomials. monomial the sum B. An example of a polynomial in one variable, x, would be x3+6x2+12x+8 C. How many MONOMIALS are there in the above polynomial? 4

B. Example: Find the degree of the following polynomial: The _________exponent in the polynomial determines the DEGREE OF A POLYNOMIAL in one variable. largest A. Example: The degree of –7x + 9 – 4x2 is ____ because ___ is the largest exponent in the polynomial. 2 2 B. Example: Find the degree of the following polynomial: x4 + 6x3 + 7x5 + 12x 5

B. The coefficient of the first term is called the _______________. STANDARD FORM A. The terms of a polynomial are in STANDARD FORM if they are ordered from left to right in ______________ order; which means from the ____________ exponent to the smallest. decreasing largest B. The coefficient of the first term is called the _______________. C. To write a polynomial in Standard Form, ______________ the terms of the polynomial in ______________ order according to the ________________ of the variables. Leading coefficient arrange decreasing exponent

STANDARD FORM D. Example: Write 9 + x – 4x3 in standard form. – 4x3 + x + 9 E. Example: Write 3x2 – 2 + 4x – 5x3 in standard form. – 5x3 + 3x2 + 4x - 2

B. Their _________ of terms C. Look at the chart for an explanation. Some polynomials have SPECIAL NAMES that are determined by the following: A. Their _________ or B. Their _________ of terms C. Look at the chart for an explanation. degree number

Polynomial Name by # of Terms DEGREE Name by Degree 12 8x 4x2 + 3 5x3 + x2 3x2 – 4x + 6 x4 – x2 + 5x – 12 Monomial 0 Constant 1 Monomial 1 Linear Binomial 2 Quadratic 2 Binomial 3 Cubic Trinomial 2 Quadratic Polynomial 4 Quartic

Composition of Functions