Question

Trace the curve y=cube root of x square - 1, and state all the properties use to trace it

Answer 1

Given :   Curve y  = ∛ (x² - 1 )

To find : Trace curve

Solution:

y  = ∛ x² - 1

y = 0

=> x² - 1  =  0

=> x² =  1

=>  | x  |  =  1

=>    x  = 1 , - 1

Curve cut x axis at 1 & - 1

x = 0

=> y = - 1

Curve cut y axis at - 1

x² - 1  minimum value  = -1

hence y minimum = ∛-1  = -1

no maximum value

Domain ∈ R

Rangle ∈ ( - 1 , ∞ )

Learn more:

trace the curve ay^2=x^3 - Brainly.in

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