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Popular Functions >

f(x)=12+2x^2-x^4

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 13

X Intercepts : (1 + 13, 0), (- 1 + 13, 0), Y Intercepts : (0, 12)

Asymptotes : None

Extreme Points : Maximum (- 1, 13), Minimum (0, 12), Maximum (1, 13)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 13]

Solution steps

Domain of

12 + 2 x^{2} - x^{4} : - \infty < x < \infty

Range of

12 + 2 x^{2} - x^{4} : f (x) \leq 13

Axis interception points of

12 + 2 x^{2} - x^{4} :

X Intercepts

: (1 + 13, 0), (- 1 + 13, 0),

Y Intercepts

: (0, 12)

Asymptotes of

12 + 2 x^{2} - x^{4} :

None

Extreme Points of

12 + 2 x^{2} - x^{4} :

Maximum

(- 1, 13),

Minimum

(0, 12),

Maximum

(1, 13)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=12+2x^2-x^4 ?
The f(x)=12+2x^2-x^4 is