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8. the input values increase without bound graph of g(x) 8. limit state…

Question

  1. the input values increase without bound

graph of g(x)

  1. limit statement:

what is the y - value that the limit statement would be equal to?

Explanation:

Step1: Analyze the graph as x approaches infinity

As the input values (x - values) increase without bound (i.e., as \(x
ightarrow+\infty\)), we observe the behavior of the function \(y = g(x)\).

Step2: Determine the horizontal - asymptote

Looking at the right - hand side of the graph, as \(x\) gets larger and larger, the \(y\) - values of the function \(g(x)\) approach \(y = 1\).

Answer:

1