en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{π}{4} \leq f (x) < \frac{π}{2}

X Intercepts : (1, 0), (- 1, 0), Y Intercepts : (0, - \frac{π}{4})

Asymptotes : Horizontal y = \frac{π}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{π}{4}, \frac{π}{2})

Solution steps

Domain of

arctan (x^{2} - 1) : - \infty < x < \infty

Range of

arctan (x^{2} - 1) : - \frac{π}{4} \leq f (x) < \frac{π}{2}

Axis interception points of

arctan (x^{2} - 1) :

X Intercepts

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

Y Intercepts

: (0, - \frac{π}{4})

Asymptotes of

arctan (x^{2} - 1) :

Horizontal

: y = \frac{π}{2}

Popular Examples

s(t)=-16t^2+64t+210

s (t) = - 16 t^{2} + 64 t + 210

f (x) = 4 tan (2 x)

f(x)=2x^2-11x-1

f (x) = 2 x^{2} - 11 x - 1

f(x)=csc(x)+csc(2x)+cot(2x)

f (x) = csc (x) + csc (2 x) + cot (2 x)

f(x)=x^5+2x^4-13x^3-26x^2+36x+72

f (x) = x^{5} + 2 x^{4} - 13 x^{3} - 26 x^{2} + 36 x + 72

Frequently Asked Questions (FAQ)

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