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Popular >

y=|x^2-1|

Solution

y = x^{2} - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- 1, 0), (1, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (0, 1), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - 1 : - \infty < x < \infty

Range of

x^{2} - 1 : f (x) \geq 0

Axis interception points of

x^{2} - 1 :

X Intercepts

: (- 1, 0), (1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{2} - 1 :

None

Extreme Points of

x^{2} - 1 :

Minimum

(- 1, 0),

Maximum

(0, 1),

Minimum

(1, 0)

Popular Examples

f(x)=sqrt(x^2-5)

f (x) = x^{2} - 5

f (s) = s^{2} + 6 s + 34

y = 6 cos (x)

f(x)=(x^2)/(1-x)

f (x) = \frac{x ^{2}}{1 - x}

y = - \frac{1}{3} x - 1

Frequently Asked Questions (FAQ)

What is the y=|x^2-1| ?
The y=|x^2-1| is