x-intercept, y-intercept and symmetry
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer


When x=0, f(0) is the y intercept=0.

When f(x)=0, x=0, so both intercepts are zero.

There are asymptotes at x=±⁸√8. Also, when x is very large and positive, f(x)-5/x→0⁻ and when x is very large and negative, f(x)→0⁺.

f(x) is an odd function:

If x=c², f(c²)=-5c¹⁴/(c¹⁶-8), and f(-c²)=5c¹⁴/(c¹⁶-8). Therefore f(x)=-f(-x), which is asymmetrical. Symmetry is produced by double reflection in the axes (double flip): reflection in the y-axis then in the x-axis, or vice versa.

by Top Rated User (804k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,851 questions
91,606 answers
16,038 users