which table shows a function that is decreasi...

# Explanation: ## Step1: Check first table For \(x\) values from \(-2\) to \(-1\), \(f(x)\) increases from \(0\) to \(3\). From \(-1\) to \(1\), \(f(x)\) decreases from \(3\) to \(-3\). From \(1\) to \(2\), \(f(x)\) increases from \(-3\) to \(0\). ## Step2: Check second table For \(x\) values from \(-2\) to \(-1\), \(f(x)\) decreases from \(10\) to \(8\). From \(-1\) to \(1\), \(f(x)\) decreases from \(8\) to \(-8\). From \(1\) to \(2\), \(f(x)\) decreases from \(-8\) to \(-10\). ## Step3: Check third table For \(x\) values from \(-2\) to \(-1\), \(f(x)\) decreases from \(0\) to \(-3\). From \(-1\) to \(1\), \(f(x)\) increases from \(-3\) to \(3\). From \(1\) to \(2\), \(f(x)\) decreases from \(3\) to \(0\). ## Step4: Check fourth table For \(x\) values from \(-2\) to \(-1\), \(f(x)\) increases from \(-10\) to \(-8\). From \(-1\) to \(1\), \(f(x)\) increases from \(-8\) to \(8\). From \(1\) to \(2\), \(f(x)\) increases from \(8\) to \(10\). # Answer: The first table shows a function that is decreasing only over the interval \((-1,1)\).