Question

which of the following statements is true? choose the correct statement. a. a function is increasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ < x₂, then f(x₁) < f(x₂). b. a function is increasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ > x₂, then f(x₁) < f(x₂). c. a function is decreasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ > x₂, then f(x₁) > f(x₂). d. a function is decreasing on an interval (a,b) if, for any x₁ and x₂ chosen from the interval with x₁ < x₂, then f(x₁) < f(x₂).

Explanation:

By the definition of an increasing function, if a function \(y = f(x)\) is increasing on an interval \((a,b)\), when \(x_1

Answer:

A. A function is increasing on an interval \((a,b)\) if, for any \(x_1\) and \(x_2\) chosen from the interval with \(x_1 < x_2\), then \(f(x_1)<f(x_2)\)