Question

the graph below. 3d identify the end behavior of the function as ( x \to infty ). as ( x \to infty, f(x) \to infty ). a as ( x \to infty, f(x) = -4 ). b as ( x \to infty, f(x) \to -infty ). c as ( x \to infty, f(x) = 4 ). d

Explanation:

Step1: Analyze the graph's right - hand end

Look at the part of the graph where \( x \) is getting very large (approaching \( \infty \)).

Step2: Determine the function's value

From the graph, we can see that as \( x \) moves towards positive infinity (to the right on the x - axis), the graph of the function is a horizontal line at \( y = 4 \). This means that as \( x\to\infty \), the value of the function \( f(x) \) is equal to 4.

Answer:

D. As \( x \to \infty \), \( f(x) = 4 \)