Use the algebraic tests to check for symmetry with respect to both axes and the origin. (Select all that apply.) y = x4 − x2 + 2
Added by Alpha L.
Step 1
Replacing y with -y in the equation y = x^4 - x^2 + 2, we get -y = x^4 - x^2 + 2. Since the equation remains the same, the function is symmetric with respect to the x-axis. To check for symmetry with respect to the y-axis, we replace x with -x and see if the Show more…
Show all steps
Close
Your feedback will help us improve your experience
Gregory Higby and 69 other Algebra 2 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use the algebraic tests to check for symmetry with respect to both axes and the origin. $$x^{2}-y=0$$
Functions and Their Graphs
Graphs of Equations
Use the algebraic tests to check for symmetry with respect to both axes and the origin. $$x-y^{2}=0$$
Use the algebraic tests to check for symmetry with respect to both axes and the origin. $$y=\frac{x}{x^{2}+1}$$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD