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

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To sketch the curve of the function f(x) = x^2 - 1, key characteristics to determine include the domain, intercepts, symmetry, and asymptotes. Additionally, identifying intervals of increase and decrease, local maxima and minima, as well as concavity and points of inflection is essential. The discussion emphasizes the need for foundational understanding before providing assistance. A link to additional resources for graphing functions is shared for further help. Overall, a comprehensive analysis of these characteristics will facilitate an accurate sketch of the curve.
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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