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Popular >

f(x)=((5x-2))/((x^2+1))

Solution

f (x) = \frac{( 5 x - 2 )}{( x ^{2} + 1 )}

Solution

Domain : - \infty < x < \infty

Range : - \frac{29}{2} - 1 \leq f (x) \leq \frac{29}{2} - 1

X Intercepts : (\frac{2}{5}, 0), Y Intercepts : (0, - 2)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{- 2 + 29}{5}, - \frac{29 + 2}{2}), Maximum (\frac{2 + 29}{5}, \frac{29 - 2}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{29}{2} - 1, \frac{29}{2} - 1]

Solution steps

Domain of

\frac{5 x - 2}{x ^{2} + 1} : - \infty < x < \infty

Range of

\frac{5 x - 2}{x ^{2} + 1} : - \frac{29}{2} - 1 \leq f (x) \leq \frac{29}{2} - 1

Axis interception points of

\frac{5 x - 2}{x ^{2} + 1} :

X Intercepts

: (\frac{2}{5}, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

\frac{5 x - 2}{x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{5 x - 2}{x ^{2} + 1} :

Minimum

(- \frac{- 2 + 29}{5}, - \frac{29 + 2}{2}),

Maximum

(\frac{2 + 29}{5}, \frac{29 - 2}{2})

Popular Examples

p(x)=((x^3+1))/x+((x^3+8))/2 x^2+3

p (x) = \frac{( x ^{3} + 1 )}{x} + \frac{( x ^{3} + 8 )}{2} x^{2} + 3

intercepts of-3x,x<0 intercepts

- 3 x, x < 0

f(x)=(x^2+x-1)/(27)

f (x) = \frac{x ^{2} + x - 1}{27}

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

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

y=sqrt(3)x+sqrt(2)

y = 3 x + 2

Frequently Asked Questions (FAQ)

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