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Popular Functions >

f(x)=12x^4+24x^3+12x^2-5x+7

Solution

f (x) = 12 x^{4} + 24 x^{3} + 12 x^{2} - 5 x + 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 6.60556 \dots

Y Intercepts : (0, 7)

Asymptotes : None

Extreme Points : Minimum (0.14205 \dots, 6.60556 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [6.60556 \dots, \infty)

Solution steps

Domain of

12 x^{4} + 24 x^{3} + 12 x^{2} - 5 x + 7 : - \infty < x < \infty

Range of

12 x^{4} + 24 x^{3} + 12 x^{2} - 5 x + 7 : f (x) \geq 6.60556 \dots

Axis interception points of

12 x^{4} + 24 x^{3} + 12 x^{2} - 5 x + 7 :

Y Intercepts

: (0, 7)

Asymptotes of

12 x^{4} + 24 x^{3} + 12 x^{2} - 5 x + 7 :

None

Extreme Points of

12 x^{4} + 24 x^{3} + 12 x^{2} - 5 x + 7 :

Minimum

(0.14205 \dots, 6.60556 \dots)

Graph

Popular Examples

f(x)=sqrt(3+x)+\sqrt[4]{7-x}

f(x)=x^3+3/2 x^2-6x

domain of (x^{10}+x^{10}+x^{10})/(x^{10)},x\ne 0

y=sqrt(x^2-3x-2)

Frequently Asked Questions (FAQ)

What is the f(x)=12x^4+24x^3+12x^2-5x+7 ?
The f(x)=12x^4+24x^3+12x^2-5x+7 is