- #1
Nelo
- 215
- 0
Homework Statement
Why is this not a polynomial function? h(x) = 3x + 2x
Homework Equations
The Attempt at a Solution
3x+2x = 5x.
5x is a linear function with a degree of 1, why is this not a polynomial funct?
For new questions, you really should start a new thread.Nelo said:Quick question.
Describe transformation to graph x^4 :: 5f[2/5(x-3)] +1
so.. vertical 5, horizontal 2/5 (in the book it says 5/2... ? is that how it is?) right 3 up 1.
Is the horizontal 2/5 or 5/2 ? why flip it if its outside the x already?\
Or do you always state the recipricol of it?
A polynomial function is a mathematical function that is made up of multiple terms, each of which is a product of a constant coefficient and one or more variables raised to whole number powers.
The degree of a polynomial function is the highest exponent or power of the variable in the function. In this case, the function h(x) = 3x + 2x has a degree of 1, since the highest exponent of x is 1.
The leading coefficient is the coefficient of the term with the highest degree in a polynomial function. In this function, the leading coefficient is 3.
To graph a polynomial function, you can plot points by choosing values for the variable and solving for the corresponding output. You can also use the properties of the function, such as the degree and leading coefficient, to determine the general shape of the graph.
Analyzing a polynomial function allows us to understand its behavior and properties, such as the degree, leading coefficient, and roots. This information can be useful in solving equations, graphing the function, and making predictions about its behavior.