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Popular >

f(x)=(x^4-5x+7)/(x^2+1)

Solution

f (x) = \frac{x ^{4} - 5 x + 7}{x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1.24437 \dots

Y Intercepts : (0, 7)

Asymptotes : None

Extreme Points : Minimum (- 1.46886 \dots, 6.01710 \dots), Maximum (- 0.32918 \dots, 7.81122 \dots), Minimum (1.26804 \dots, 1.24437 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1.24437 \dots, \infty)

Solution steps

Domain of

\frac{x ^{4} - 5 x + 7}{x ^{2} + 1} : - \infty < x < \infty

Range of

\frac{x ^{4} - 5 x + 7}{x ^{2} + 1} : f (x) \geq 1.24437 \dots

Axis interception points of

\frac{x ^{4} - 5 x + 7}{x ^{2} + 1} :

Y Intercepts

: (0, 7)

Asymptotes of

\frac{x ^{4} - 5 x + 7}{x ^{2} + 1} :

None

Extreme Points of

\frac{x ^{4} - 5 x + 7}{x ^{2} + 1} :

Minimum

(- 1.46886 \dots, 6.01710 \dots),

Maximum

(- 0.32918 \dots, 7.81122 \dots),

Minimum

(1.26804 \dots, 1.24437 \dots)

Popular Examples

f(x)=4sin^2(x)cos^2(x)

f (x) = 4 sin^{2} (x) cos^{2} (x)

f(x)=(4x^2+4)/(2x^2-8)

f (x) = \frac{4 x ^{2} + 4}{2 x ^{2} - 8}

f (x) = 3 x^{2} - 7 x + 8

y = ln (2 x + 3)

f(x)=-0.3x^2+18x-100

f (x) = - 0.3 x^{2} + 18 x - 100

Frequently Asked Questions (FAQ)

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