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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2

X Intercepts : (- 3, 0), (3, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (- 1, - 2), Maximum (0, - 1), Minimum (1, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} - 1 - 2 :

X Intercepts

: (- 3, 0), (3, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

x^{2} - 1 - 2 :

None

Extreme Points of

x^{2} - 1 - 2 :

Minimum

(- 1, - 2),

Maximum

(0, - 1),

Minimum

(1, - 2)

Popular Examples

f(x)=(3x-6)/(x^2-4)

f (x) = \frac{3 x - 6}{x ^{2} - 4}

f(x)=sqrt(3-x)+sqrt(x^2-1)

f (x) = 3 - x + x^{2} - 1

f(x)=-3x^2*log_{10}(x+8)

f (x) = - 3 x^{2} \cdot lo g_{10} (x + 8)

y = 2 sin (x + \frac{π}{3})

f(x)=(sqrt(x)-sqrt(2))/(x-2)

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

Frequently Asked Questions (FAQ)

What is the f(x)=|x^2-1|-2 ?
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