Identify the Declining Interval: Locate the Function's Decrease Near x = 1.3

Question

In which interval does the function decrease?

Red line: x=1.3 x=1.3

–4–4–4–2–2–2222444666888101010–2–2–2222444000

Video Solution

Solution Steps

00:00 Find the decreasing domain of the function
00:04 The function decreases when X values increase and Y values decrease
00:10 Let's start by finding the increasing domains
00:19 Between the increasing domains, the function decreases
00:25 This is the decreasing domain
00:31 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to determine the interval on which the function is decreasing. We have visual aid from a graph and a red line denoting x=1.3 x = 1.3 . Upon inspecting the graph:

  • The function appears to decrease between two points. This interval is crucial to identify, particularly in relation to the line x=1.3 x = 1.3 .
  • To determine the decreasing interval, note where the graph slopes downward. Upon doing so, the graph descends in the range between x=−1.3 x = -1.3 and x=1.3 x = 1.3 .

Therefore, the function decreases in the interval −1.3<x<1.3 -1.3 < x < 1.3 .

Given the choices, the correct choice is 1.3>x>−1.3 1.3 > x > -1.3 .

Answer

1.3 > x > -1.3

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Increasing and Decreasing Intervals (Functions) Functions for Seventh Grade Increasing functions Decreasing function Constant Function Decreasing Interval of a function Increasing Intervals of a function

Question Types

Increasing and Decreasing Intervals of a Function: Finding Increasing or Decreasing Domains