Question

the graphs of ( f(x) ) and ( g(x) ) are given. which statement accurately describes the end behavior the two graphs have in common? neither end behavior is the same. only the right end behavior is the same. only the left end behavior is the same. the end behavior on both sides is the same

Explanation:

Step1: Analyze the right - end behavior

For \(y = f(x)\), as \(x\to+\infty\), \(y = f(x)\to+\infty\). For \(y = g(x)\), as \(x\to+\infty\), \(y = g(x)\to+\infty\).

Step2: Analyze the left - end behavior

For \(y = f(x)\), as \(x\to-\infty\), \(y = f(x)\to - 4\) (horizontal asymptote \(y=-4\)). For \(y = g(x)\), as \(x\to-\infty\), \(y = g(x)\to-\infty\).

Answer:

Only the right end behavior is the same.