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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{43}{16}

X Intercepts : (0.71667 \dots, 0), (- 2.10691 \dots, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2}, - \frac{43}{16}), Saddle (0, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{43}{16}, \infty)

Solution steps

Domain of

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

Range of

x^{4} + 2 x^{3} - 1 : f (x) \geq - \frac{43}{16}

Axis interception points of

x^{4} + 2 x^{3} - 1 :

X Intercepts

: (0.71667 \dots, 0), (- 2.10691 \dots, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

x^{4} + 2 x^{3} - 1 :

None

Extreme Points of

x^{4} + 2 x^{3} - 1 :

Minimum

(- \frac{3}{2}, - \frac{43}{16}),

Saddle

(0, - 1)

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Frequently Asked Questions (FAQ)

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