What is the f(x)=x^4+5x^2-2x+1 ?

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

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

Domain : - \infty < x < \infty

Range : f (x) \geq 0.80155 \dots

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (0.19694 \dots, 0.80155 \dots)

Interval Notation

Domain : (- \infty, \infty)

Range : [0.80155 \dots, \infty)

Solution steps

Domain of

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

Range of

x^{4} + 5 x^{2} - 2 x + 1 : f (x) \geq 0.80155 \dots

Axis interception points of

x^{4} + 5 x^{2} - 2 x + 1 :

Y Intercepts

: (0, 1)

Asymptotes of

x^{4} + 5 x^{2} - 2 x + 1 :

None

Extreme Points of

x^{4} + 5 x^{2} - 2 x + 1 :

Minimum

(0.19694 \dots, 0.80155 \dots)

f (x) = arctan (x - 1)

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

f (x) = 5^{x^{2}}

f (x) = \frac{sin ( 2 x ) + sin ( x )}{2 cos ( x ) + 1}

f (x) = \frac{- 4 x + 12}{2 x ^{2} - x - 15}