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Popular >

f(x)=64x^4-8x^3-28x^2+1

Solution

f (x) = 64 x^{4} - 8 x^{3} - 28 x^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{104411 + 905 905}{32768} + 1

X Intercepts : (- 0.56379 \dots, 0), (0.70262 \dots, 0), (0.19181 \dots, 0), (- 0.20563 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (\frac{3 - 905}{64}, \frac{905 905 - 104411}{32768} + 1), Maximum (0, 1), Minimum (\frac{3 + 905}{64}, - \frac{104411 + 905 905}{32768} + 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{104411 + 905 905}{32768} + 1, \infty)

Solution steps

Domain of

64 x^{4} - 8 x^{3} - 28 x^{2} + 1 : - \infty < x < \infty

Range of

64 x^{4} - 8 x^{3} - 28 x^{2} + 1 : f (x) \geq - \frac{104411 + 905 905}{32768} + 1

Axis interception points of

64 x^{4} - 8 x^{3} - 28 x^{2} + 1 :

X Intercepts

: (- 0.56379 \dots, 0), (0.70262 \dots, 0), (0.19181 \dots, 0), (- 0.20563 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

64 x^{4} - 8 x^{3} - 28 x^{2} + 1 :

None

Extreme Points of

64 x^{4} - 8 x^{3} - 28 x^{2} + 1 :

Minimum

(\frac{3 - 905}{64}, \frac{905 905 - 104411}{32768} + 1),

Maximum

(0, 1),

Minimum

(\frac{3 + 905}{64}, - \frac{104411 + 905 905}{32768} + 1)

Popular Examples

y = (sec (x)) \cdot 4

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

f (y) = y^{2} - 11 y + 2

f (- 1) = 8 x - 5

y=((3x^3-1)/2)(2x^2-2)

y = (\frac{3 x ^{3} - 1}{2}) (2 x^{2} - 2)

Frequently Asked Questions (FAQ)

What is the f(x)=64x^4-8x^3-28x^2+1 ?
The f(x)=64x^4-8x^3-28x^2+1 is