Question

1. writing let f(x) = 13. state the degree, type, and leading coefficient. describe the end behavior of the function. explain your reasoning.

Explanation:

Step1: Identify function form

Rewrite $f(x)=13$ as $f(x)=13x^0$ (since $x^0=1$ for $x
eq0$)

Step2: Find degree of the function

The degree is the highest power of $x$, so degree $=0$

Step3: Classify function type

A degree-0 function is a constant function

Step4: Identify leading coefficient

The coefficient of $x^0$ is 13, so leading coefficient $=13$

Step5: Analyze end behavior

For all $x\to\infty$ and $x\to-\infty$, $f(x)=13$ remains constant

Answer:

• Degree: $0$
• Type: Constant function
• Leading coefficient: $13$
• End behavior: As $x$ approaches positive infinity ($x\to\infty$) or negative infinity ($x\to-\infty$), $f(x)$ stays equal to 13, since the function has a fixed constant value for all real $x$.