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Popular >

f(x)=x^4+2x^3+3x^2+2x+2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{25}{16}

Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, \frac{25}{16})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{25}{16}, \infty)

Solution steps

Domain of

x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 2 : - \infty < x < \infty

Range of

x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 2 : f (x) \geq \frac{25}{16}

Axis interception points of

x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 2 :

Y Intercepts

: (0, 2)

Asymptotes of

x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 2 :

None

Extreme Points of

x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 2 :

Minimum

(- \frac{1}{2}, \frac{25}{16})

Popular Examples

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intercepts of-x,x<0 intercepts

- x, x < 0

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f (y_{= 3 x^{2} - 8 x + 5}) = y_{= 3 x^{2} - 8 x + 5} (x)

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

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f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} - 1

Frequently Asked Questions (FAQ)

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