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Popular >

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

Solution

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

Solution

Domain : x \leq - \frac{1}{2} or x \geq \frac{1}{2}

Range : f (x) \geq 0

X Intercepts : (\frac{1}{2}, 0), (- \frac{1}{2}, 0)

Asymptotes : Slant y = 2 x, y = - 2 x

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

+1

Interval Notation

Domain : (- \infty, - \frac{1}{2}] \cup [\frac{1}{2}, \infty)

Range : [0, \infty)

Solution steps

Domain of

2 x^{2} - 1 : x \leq - \frac{1}{2} or x \geq \frac{1}{2}

Range of

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

Axis interception points of

2 x^{2} - 1 :

X Intercepts

: (\frac{1}{2}, 0), (- \frac{1}{2}, 0)

Asymptotes of

2 x^{2} - 1 :

Slant

: y = 2 x, y = - 2 x

Extreme Points of

2 x^{2} - 1 :

Minimum

(- \frac{1}{2}, 0),

Minimum

(\frac{1}{2}, 0)

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Frequently Asked Questions (FAQ)

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