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Popular >

f(a)=a^8-12a^4+16

Solution

f (a) = a^{8} - 12 a^{4} + 16

Solution

Domain : - \infty < a < \infty

Range : f (x) \geq - 20

X Intercepts : (2 3 + 5, 0), (- 2 3 + 5, 0), (2 3 - 5, 0), (- 2 3 - 5, 0), Y Intercepts : (0, 16)

Asymptotes : Horizontal y = a^{8} - 12 a^{4} + 16

Extreme Points : Minimum (- 46, - 20), Maximum (0, 16), Minimum (46, - 20)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

a^{8} - 12 a^{4} + 16 : - \infty < a < \infty

Range of

a^{8} - 12 a^{4} + 16 : f (x) \geq - 20

Axis interception points of

a^{8} - 12 a^{4} + 16 :

X Intercepts

: (2 3 + 5, 0), (- 2 3 + 5, 0), (2 3 - 5, 0), (- 2 3 - 5, 0),

Y Intercepts

: (0, 16)

Asymptotes of

a^{8} - 12 a^{4} + 16 :

Horizontal

: y = a^{8} - 12 a^{4} + 16

Extreme Points of

a^{8} - 12 a^{4} + 16 :

Minimum

(- 46, - 20),

Maximum

(0, 16),

Minimum

(46, - 20)

Graph

Popular Examples

f(A)=(315A^4-1260A^3-847A-66)/(315)

f (A) = \frac{315 A ^{4} - 1260 A ^{3} - 847 A - 66}{315}

y = - 5 (x - 4)^{2} + 10

f(x)=(x^2)/(x^2+12)

f (x) = \frac{x ^{2}}{x ^{2} + 12}

y = 2 x^{2} - 20 x + 46

f(x)=(6x)/((x^2-1)^2)

f (x) = \frac{6 x}{( x ^{2} - 1 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the f(a)=a^8-12a^4+16 ?
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