- #1
kathrynag
- 598
- 0
Homework Statement
Is f increasing or decreasing on f(x)=2x^3+3x^2-36x+5 on [-1,1]
Homework Equations
The Attempt at a Solution
f'(x)<0 for all x in (a,b), then x,y and x, y in [a,b] implies f(x)>f(y) and f is decreasing
"Showing increasing or decreasing" refers to the trend or pattern of change observed in data over time or across different conditions. It is often used to describe the relationship between two variables, where one variable is consistently increasing or decreasing in response to changes in the other variable.
The terms "showing increasing or decreasing" and "showing a positive or negative correlation" are often used interchangeably, but they have different meanings. "Showing increasing or decreasing" refers to the overall trend of change in data, while "showing a positive or negative correlation" specifically describes the direction and strength of the relationship between two variables.
Some commonly used methods for visually showing increasing or decreasing data include line graphs, bar graphs, and scatter plots. These graphs allow for a quick and easy comparison of data over time or across different conditions.
There are several factors that can affect the accuracy of "showing increasing or decreasing" data, such as sample size, data collection methods, and external variables. It is important for scientists to carefully consider these factors when interpreting and presenting their data.
Showing whether data is increasing or decreasing is important in scientific research because it can provide valuable insights into the relationship between variables and can help identify patterns or trends. This information can then be used to make informed conclusions and inform future research studies.