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Popular >

f(x)=x^4-5x^3+28x-16

Solution

f (x) = x^{4} - 5 x^{3} + 28 x - 16

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{7 ( 259 - 117 273 )}{512} - 16

X Intercepts : (0.60642 \dots, 0), (- 2.21063 \dots, 0), Y Intercepts : (0, - 16)

Asymptotes : None

Extreme Points : Minimum (\frac{7 - 273}{8}, \frac{7 ( 259 - 117 273 )}{512} - 16), Maximum (2, 16), Minimum (\frac{7 + 273}{8}, \frac{7 ( 259 + 117 273 )}{512} - 16)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{7 ( 259 - 117 273 )}{512} - 16, \infty)

Solution steps

Domain of

x^{4} - 5 x^{3} + 28 x - 16 : - \infty < x < \infty

Range of

x^{4} - 5 x^{3} + 28 x - 16 : f (x) \geq \frac{7 ( 259 - 117 273 )}{512} - 16

Axis interception points of

x^{4} - 5 x^{3} + 28 x - 16 :

X Intercepts

: (0.60642 \dots, 0), (- 2.21063 \dots, 0),

Y Intercepts

: (0, - 16)

Asymptotes of

x^{4} - 5 x^{3} + 28 x - 16 :

None

Extreme Points of

x^{4} - 5 x^{3} + 28 x - 16 :

Minimum

(\frac{7 - 273}{8}, \frac{7 ( 259 - 117 273 )}{512} - 16),

Maximum

(2, 16),

Minimum

(\frac{7 + 273}{8}, \frac{7 ( 259 + 117 273 )}{512} - 16)

Popular Examples

y = x^{6} - x^{2} - x

f(x)=sqrt((x^2+3x)/(x^2-16))

f (x) = \frac{x ^{2} + 3 x}{x ^{2} - 16}

f(x)=log_{1/5}(x^2-x-12)+6

f (x) = lo g_{\frac{1}{5}} (x^{2} - x - 12) + 6

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

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

f(x)=(sqrt(x+3)-3)/(6-x)

f (x) = \frac{x + 3 - 3}{6 - x}

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-5x^3+28x-16 ?
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