Determine whether the function is a polynomial function. If it​ is, identify the degree. ​f(x) equals = 7 x Superscript 7 Baseline plus 3 x squared 7x7+3x2

Answer 1

A function is a polynomial function if it looks like Ax^B + Cx^D + ..., where A, B, C, D, ..., are any numbers. An example of a function that is not polynomial is sinx or A^x, again where A is any number.

Just to avoid confusion, A is not a variable, it is a fixed number, like 5.2 for example. While x varies to give the varying values of f(x) and draw out the function's curve on a graph, A stays constant throughout the entire graph, and so do B, C, D,... in this explanation.

The degree of a polynomial function is simply the highest exponent present in it.

The carrot in my explanation denotes that the next number is in superscript (it is an exponent).