Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Graph x^4-3x^2+x. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the intervals for which the function is increasing or decreasing. Round to the nearest hundredth, if necessary.

Sagot :

MrRoyal

Functions, equations and tables can be represented using graphs

  • The x-intercepts are: 0, 0.35 and 1.53
  • The local maximum is at point (0.17, 0.08), and the local minimum is at point (1.13, -1.07)

The expression is given as:

[tex]x^4-3x^2+x[/tex]

Rewrite the expression as a function

[tex]f(x) = x^4-3x^2+x[/tex]

See attachment for the graph of the function.

The x-intercepts

This is the point where the graph cross the x-axis.

From the attached graph, the x-intercepts are: 0, 0.35 and 1.53

The local maximum

From the attached graph, the local maximum is at point (0.17, 0.08)

The local minimum

From the attached graph, the local minimum is at point (1.13, -1.07)

Intervals

  • The graph increases at interval (-1.30, 0) and (1,13, infinity)
  • The graph decreases at interval (- infinity, 1.30) and (0.35, 1.13)

Read more about graphs and functions at:

https://brainly.com/question/13136492

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.