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Popular >

f(x)=-3x^4+5x^2+3

Solution

f (x) = - 3 x^{4} + 5 x^{2} + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{61}{12}

X Intercepts : \frac{5 + 61}{6}, 0, - \frac{5 + 61}{6}, 0, Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (- \frac{5}{6}, \frac{61}{12}), Minimum (0, 3), Maximum (\frac{5}{6}, \frac{61}{12})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{61}{12}]

Solution steps

Domain of

- 3 x^{4} + 5 x^{2} + 3 : - \infty < x < \infty

Range of

- 3 x^{4} + 5 x^{2} + 3 : f (x) \leq \frac{61}{12}

Axis interception points of

- 3 x^{4} + 5 x^{2} + 3 :

X Intercepts

: \frac{5 + 61}{6}, 0, - \frac{5 + 61}{6}, 0,

Y Intercepts

: (0, 3)

Asymptotes of

- 3 x^{4} + 5 x^{2} + 3 :

None

Extreme Points of

- 3 x^{4} + 5 x^{2} + 3 :

Maximum

(- \frac{5}{6}, \frac{61}{12}),

Minimum

(0, 3),

Maximum

(\frac{5}{6}, \frac{61}{12})

Popular Examples

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f(x)=(x+5)/((x-2)(x+2))

f (x) = \frac{x + 5}{( x - 2 ) ( x + 2 )}

y = 9 x^{3}

Frequently Asked Questions (FAQ)

What is the f(x)=-3x^4+5x^2+3 ?
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