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Popular Functions >

f(x)=16x^4-4x^2+4x+1

Solution

f (x) = 16 x^{4} - 4 x^{2} + 4 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (- 0.21289 \dots, 0), (- 0.69323 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

16 x^{4} - 4 x^{2} + 4 x + 1 : f (x) \geq - 1

Axis interception points of

16 x^{4} - 4 x^{2} + 4 x + 1 :

X Intercepts

: (- 0.21289 \dots, 0), (- 0.69323 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

16 x^{4} - 4 x^{2} + 4 x + 1 :

None

Extreme Points of

16 x^{4} - 4 x^{2} + 4 x + 1 :

Minimum

(- \frac{1}{2}, - 1)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=16x^4-4x^2+4x+1 ?
The f(x)=16x^4-4x^2+4x+1 is