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Popular >

g(x)=3x^4-8x^2

Solution

g (x) = 3 x^{4} - 8 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{16}{3}

X Intercepts : (\frac{2 2}{3}, 0), (- \frac{2 2}{3}, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{16}{3}, \infty)

Solution steps

Domain of

3 x^{4} - 8 x^{2} : - \infty < x < \infty

Range of

3 x^{4} - 8 x^{2} : f (x) \geq - \frac{16}{3}

Axis interception points of

3 x^{4} - 8 x^{2} :

X Intercepts

: (\frac{2 2}{3}, 0), (- \frac{2 2}{3}, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 x^{4} - 8 x^{2} :

None

Extreme Points of

3 x^{4} - 8 x^{2} :

Minimum

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

Maximum

(0, 0),

Minimum

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

Popular Examples

y = - 2 (x + 7)^{2} - 5

f (x) = x^{4} - 729 x

f(x)=(4x^2+4)/(2x^2+8)

f (x) = \frac{4 x ^{2} + 4}{2 x ^{2} + 8}

F (x) = ln (x)

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

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

Frequently Asked Questions (FAQ)

What is the g(x)=3x^4-8x^2 ?
The g(x)=3x^4-8x^2 is