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Popular >

f(x)=(3x^2-5)^4(2x^2+1)^3

Solution

f (x) = (3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- \frac{5}{3}, 0), (\frac{5}{3}, 0), Y Intercepts : (0, 625)

Asymptotes : None

Extreme Points : Minimum (- \frac{5}{3}, 0), Maximum (- \frac{3}{7}, \frac{1003976272}{823543}), Minimum (0, 625), Maximum (\frac{3}{7}, \frac{1003976272}{823543}), Minimum (\frac{5}{3}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3} : - \infty < x < \infty

Range of

(3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3} : f (x) \geq 0

Axis interception points of

(3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3} :

X Intercepts

: (- \frac{5}{3}, 0), (\frac{5}{3}, 0),

Y Intercepts

: (0, 625)

Asymptotes of

(3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3} :

None

Extreme Points of

(3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3} :

Minimum

(- \frac{5}{3}, 0),

Maximum

(- \frac{3}{7}, \frac{1003976272}{823543}),

Minimum

(0, 625),

Maximum

(\frac{3}{7}, \frac{1003976272}{823543}),

Minimum

(\frac{5}{3}, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2-5)^4(2x^2+1)^3 ?
The f(x)=(3x^2-5)^4(2x^2+1)^3 is