Question

1. the input values decrease without bound

graph of k(x)

1. limit statement: x→

Explanation:

Step1: Understand the problem

We need to write the limit statement as the input values ($x$ - values) decrease without bound. This means we are looking at the behavior of the function as $x\to-\infty$.

Step2: Analyze the graph

As $x$ approaches negative - infinity, the function $k(x)$ approaches the horizontal asymptote. Looking at the graph, as $x$ goes to negative infinity, the function $k(x)$ approaches $- 1$.

Answer:

$\lim_{x\to-\infty}k(x)= - 1$