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Popular >

f(x)=(x^2-11)/(x-6)

Solution

f (x) = \frac{x ^{2} - 11}{x - 6}

Solution

Domain : x < 6 or x > 6

Range : f (x) \leq 2 or f (x) \geq 22

X Intercepts : (11, 0), (- 11, 0), Y Intercepts : (0, \frac{11}{6})

Asymptotes : Vertical x = 6, Slant y = x + 6

Extreme Points : Maximum (1, 2), Minimum (11, 22)

+1

Interval Notation

Domain : (- \infty, 6) \cup (6, \infty)

Range : (- \infty, 2] \cup [22, \infty)

Solution steps

Domain of

\frac{x ^{2} - 11}{x - 6} : x < 6 or x > 6

Range of

\frac{x ^{2} - 11}{x - 6} : f (x) \leq 2 or f (x) \geq 22

Axis interception points of

\frac{x ^{2} - 11}{x - 6} :

X Intercepts

: (11, 0), (- 11, 0),

Y Intercepts

: (0, \frac{11}{6})

Asymptotes of

\frac{x ^{2} - 11}{x - 6} :

Vertical

: x = 6,

Slant

: y = x + 6

Extreme Points of

\frac{x ^{2} - 11}{x - 6} :

Maximum

(1, 2),

Minimum

(11, 22)

Popular Examples

f(x)=(x^2-4x-5)/(2x^2-x-10)

f (x) = \frac{x ^{2} - 4 x - 5}{2 x ^{2} - x - 10}

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

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

f(x)=(x+1)^2(x-2)^5(x-3)

f (x) = (x + 1)^{2} (x - 2)^{5} (x - 3)

f (x) = x^{4} + 7

f(x)=(x^2-4x-5)/(2x^2-x-21)

f (x) = \frac{x ^{2} - 4 x - 5}{2 x ^{2} - x - 21}

Frequently Asked Questions (FAQ)

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