Write an equation for the polynomial graphed below
What is the formula for a polynomial function?
A polynomial is a function of the form f(x) = anxn + an−1xn−1 + + a2x2 + a1x + a0 . The degree of a polynomial is the highest power of x in its expression.
What are examples of polynomial functions?
Basic knowledge of polynomial functions
| Polynomial | Example | Degree |
|---|---|---|
| Constant | 1 | |
| Linear | 2x+1 | 1 |
| Quadratic | 3x2+2x+1 | 2 |
| Cubic | 4x3+3x2+2x+1 | 3 |
How do you write an equation for a function?
When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x. Equations with exponents can also be functions.
How do you write an equation of a line?
The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b). When you know the slope and the y-intercept of a line you can use the slope-intercept form to immediately write the equation of that line.
How do you determine an equation is a function?
It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.
What is as a polynomial?
What is a Polynomial? A polynomial is an expression involving numbers and variables raised to non-negative integer exponents. The terms in a polynomial are the smaller expressions separated by “+” or “-“. The terms are can be further broken down into coefficients, variables and exponents.
What are the types of polynomial?
The three types of polynomials are:Monomial.Binomial.Trinomial.