Question

use the graph of the function f given below to answer the question. is f increasing on the interval -2,1? no yes

Explanation:

Step1: Recall the definition of an increasing function

A function \(y = f(x)\) is increasing on an interval \([a,b]\) if for any \(x_1,x_2\in[a,b]\) with \(x_1

Step2: Analyze the graph on the interval \([- 2,1]\)

Looking at the graph, when \(x=-2\), \(y = 9\) (from the point \((-2,9)\)) and when \(x = 1\), \(y=0\) (from the point \((1,0)\)). Since \(9>0\), as \(x\) increases from \(-2\) to \(1\), the \(y -\) values of the function are decreasing.

Answer:

No