What is the f(x)=sqrt(2x^2-7) ?

Popular >

f(x)=sqrt(2x^2-7)

f (x) = 2 x^{2} - 7

Domain : x \leq - \frac{7}{2} or x \geq \frac{7}{2}

Range : f (x) \geq 0

X Intercepts : (\frac{7}{2}, 0), (- \frac{7}{2}, 0)

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

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

Interval Notation

Domain : (- \infty, - \frac{7}{2}] \cup [\frac{7}{2}, \infty)

Range : [0, \infty)

Solution steps

Domain of

2 x^{2} - 7 : x \leq - \frac{7}{2} or x \geq \frac{7}{2}

Range of

2 x^{2} - 7 : f (x) \geq 0

Axis interception points of

2 x^{2} - 7 :

X Intercepts

: (\frac{7}{2}, 0), (- \frac{7}{2}, 0)

Asymptotes of

2 x^{2} - 7 :

Slant

: y = 2 x, y = - 2 x

Extreme Points of

2 x^{2} - 7 :

Minimum

(- \frac{7}{2}, 0),

Minimum

(\frac{7}{2}, 0)

\int_{0}^{1} \frac{2 x}{( x ^{2} + 1 ) ^{2}} d x

x = \frac{1}{2} y^{2}, y = 1, y = - \frac{1}{2} x + 3

\frac{\partial}{\partial y} (\frac{- y}{y ^{2} + x ^{2}})

\frac{d}{d x} (\frac{3 x - 1}{x ^{2} + 2})

\frac{d}{d x} (sin (8 cos (x)))