Finding Negative Domains: Analyzing Function Values from -0.5 to 2

Question

Determine in which domain the function is negative?

–0.5–0.5–0.50.50.50.51111.51.51.5222000

Video Solution

Solution Steps

00:00 Find the negative domain of the function
00:04 A function is negative when its Y values are less than 0
00:08 That is, below the X axis
00:13 At this point the function goes below the X-axis
00:18 And this is the solution to the question

Step-by-Step Solution

Let's remember that a function is increasing if both X values and Y values are increasing simultaneously.

A function is decreasing if X values are increasing while Y values are decreasing simultaneously.

In the graph, we can see that in the domain x > 1 the function is decreasing, meaning the Y values are decreasing.

Answer

x > 1

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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