Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\left(x\right)=2+x$

Polynomial with $n=1,a_{n}=2$

Polynomial with $n=0,a_{n}=1$

Polynomial with $n=1,a_{n}=1$

Not a polynomial function.

Verified step by step guidance

Step 1: Understand the definition of a polynomial function. A polynomial function is an expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Step 2: Examine the given function f(x) = 2 + x. Check if it fits the definition of a polynomial function. In this case, the function is a sum of a constant term (2) and a linear term (x), which involves a non-negative integer exponent (1).

Step 3: Write the function in standard form. The standard form of a polynomial arranges terms in descending order of their exponents. For f(x) = 2 + x, the standard form is f(x) = x + 2.

Step 4: Determine the degree of the polynomial. The degree is the highest exponent of the variable in the polynomial. In f(x) = x + 2, the highest exponent is 1, so the degree is 1.

Step 5: Identify the leading coefficient. The leading coefficient is the coefficient of the term with the highest degree. In f(x) = x + 2, the term with the highest degree is x, and its coefficient is 1.

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Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. f(x)=2+xf\left(x\right)=2+xf(x)=2+x

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Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\left(x\right)=2+x$