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Popular >

F(b)=((b-b^2))/((1+b^2))

Solution

F (b) = \frac{( b - b ^{2} )}{( 1 + b ^{2} )}

Solution

Domain : - \infty < b < \infty

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

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

Asymptotes : Horizontal y = \frac{b - b ^{2}}{1 + b ^{2}}

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{b - b ^{2}}{1 + b ^{2}} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

\frac{b - b ^{2}}{1 + b ^{2}} :

Horizontal

: y = \frac{b - b ^{2}}{1 + b ^{2}}

Extreme Points of

\frac{b - b ^{2}}{1 + b ^{2}} :

Minimum

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

Maximum

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

Popular Examples

y = - \frac{1}{4} x - 5

y = - 2 (x + 3)^{2} + 2

f(x)=(sqrt(x-1))/(x^2-16)

f (x) = \frac{x - 1}{x ^{2} - 16}

y = (x - 1)^{2} + 5

f (x) = (4)^{x}

Frequently Asked Questions (FAQ)

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