How Do You Sketch the Curve of y = f(x) with Given Characteristics?

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SUMMARY

The discussion focuses on sketching the curve of the function f(x) = x^2 - 1 by obtaining key characteristics such as domain, intercepts, symmetry, asymptotes, intervals of increase/decrease, local maxima and minima, and concavity with points of inflection. Participants emphasize the importance of understanding these elements to accurately represent the graph. A reference link to additional resources on graphing functions is provided for further assistance.

PREREQUISITES
  • Understanding of quadratic functions and their properties
  • Knowledge of calculus concepts such as local maxima and minima
  • Familiarity with graphing techniques and coordinate systems
  • Basic comprehension of asymptotic behavior in functions
NEXT STEPS
  • Study the domain and range of quadratic functions
  • Learn how to calculate intercepts for polynomial functions
  • Explore the concept of symmetry in graphs, particularly even and odd functions
  • Investigate methods for determining concavity and points of inflection
USEFUL FOR

Students studying calculus, educators teaching graphing techniques, and anyone interested in understanding the behavior of quadratic functions.

drasord
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Hello guys, I'm really stuck on this problem. Could anyone provide help?

f(x) = x^2 - 1

Obtain:
(i) domain
(ii) intercepts
(iii) symmetry
(iv) asymptotes
(v) intervals of increase/decrease
(vi) local maxima and minima
(vii) concavity and points of inflection

Use these values to sketch the curve y = f(x)

Thanks!
 
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drasord said:
Hello guys, I'm really stuck on this problem. Could anyone provide help?

f(x) = x^2 - 1

Obtain:
(i) domain
(ii) intercepts
(iii) symmetry
(iv) asymptotes
(v) intervals of increase/decrease
(vi) local maxima and minima
(vii) concavity and points of inflection

Use these values to sketch the curve y = f(x)

Thanks!
hello,
Maybe this one Will help http://mathhelpboards.com/calculus-10/how-sketch-graph-function-5159.html

Regards,
$$|\pi\rangle$$
 

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