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Popular >

f(n)=(n^2+1)/n

Solution

f (n) = \frac{n ^{2} + 1}{n}

Solution

Domain : n < 0 or n > 0

Range : f (x) \leq - 2 or f (x) \geq 2

Intercepts : None

Asymptotes : Vertical n = 0, Slant y = n

Extreme Points : Maximum (- 1, - 2), Minimum (1, 2)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - 2] \cup [2, \infty)

Solution steps

Domain of

\frac{n ^{2} + 1}{n} : n < 0 or n > 0

Range of

\frac{n ^{2} + 1}{n} : f (x) \leq - 2 or f (x) \geq 2

Axis interception points of

\frac{n ^{2} + 1}{n} :

None

Asymptotes of

\frac{n ^{2} + 1}{n} :

Vertical

: n = 0,

Slant

: y = n

Extreme Points of

\frac{n ^{2} + 1}{n} :

Maximum

(- 1, - 2),

Minimum

(1, 2)

Popular Examples

f(x)=(x+2)/(|x+2|)

f (x) = \frac{x + 2}{∣ x + 2 ∣}

y= 1/(e^{-x)-1}

y = \frac{1}{e ^{- x} - 1}

f(x)=(x-5)/(x^2-8x+16)

f (x) = \frac{x - 5}{x ^{2} - 8 x + 16}

g(x)= 1/(x^2+1)

g (x) = \frac{1}{x ^{2} + 1}

f(x)=x^2+sin(2x)-1

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

Frequently Asked Questions (FAQ)

What is the f(n)=(n^2+1)/n ?
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