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Popular >

f(x)=(1-x)/(x^2-x+4)

Solution

f (x) = \frac{1 - x}{x ^{2} - x + 4}

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{5} \leq f (x) \leq \frac{1}{3}

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 1, \frac{1}{3}), Minimum (3, - \frac{1}{5})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{5}, \frac{1}{3}]

Solution steps

Domain of

\frac{1 - x}{x ^{2} - x + 4} : - \infty < x < \infty

Range of

\frac{1 - x}{x ^{2} - x + 4} : - \frac{1}{5} \leq f (x) \leq \frac{1}{3}

Axis interception points of

\frac{1 - x}{x ^{2} - x + 4} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, \frac{1}{4})

Asymptotes of

\frac{1 - x}{x ^{2} - x + 4} :

Horizontal

: y = 0

Extreme Points of

\frac{1 - x}{x ^{2} - x + 4} :

Maximum

(- 1, \frac{1}{3}),

Minimum

(3, - \frac{1}{5})

Popular Examples

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

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

g(7)= 7/8 x-1/2

g (7) = \frac{7}{8} x - \frac{1}{2}

g (x) = 3 cos (x)

f (x) = 3 x^{2} + 4 x + 7

f(x)=log_{10}(x)+4

f (x) = lo g_{10} (x) + 4

Frequently Asked Questions (FAQ)

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