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Popular >

y=|x^2+x|-2

Solution

y = x^{2} + x - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2

X Intercepts : (- 2, 0), (1, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (- 1, - 2), Maximum (- \frac{1}{2}, - \frac{7}{4}), Minimum (0, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} + x - 2 :

X Intercepts

: (- 2, 0), (1, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

x^{2} + x - 2 :

None

Extreme Points of

x^{2} + x - 2 :

Minimum

(- 1, - 2),

Maximum

(- \frac{1}{2}, - \frac{7}{4}),

Minimum

(0, - 2)

Popular Examples

f (x) = 6 + x

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

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

f(x)=(4x^3-9)^{2/5}

f (x) = (4 x^{3} - 9)^{\frac{2}{5}}

f(x)=1-2cos(x/3+(2pi)/3)

f (x) = 1 - 2 cos (\frac{x}{3} + \frac{2 π}{3})

f(x)=sqrt(-x-4)

f (x) = - x - 4

Frequently Asked Questions (FAQ)

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