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Popular >

f(x)=x^4-85x^2+25

Solution

f (x) = x^{4} - 85 x^{2} + 25

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{7125}{4}

X Intercepts : \frac{85 + 5 285}{2}, 0, - \frac{85 + 5 285}{2}, 0, \frac{85 - 5 285}{2}, 0, - \frac{85 - 5 285}{2}, 0, Y Intercepts : (0, 25)

Asymptotes : None

Extreme Points : Minimum (- \frac{85}{2}, - \frac{7125}{4}), Maximum (0, 25), Minimum (\frac{85}{2}, - \frac{7125}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{7125}{4}, \infty)

Solution steps

Domain of

x^{4} - 85 x^{2} + 25 : - \infty < x < \infty

Range of

x^{4} - 85 x^{2} + 25 : f (x) \geq - \frac{7125}{4}

Axis interception points of

x^{4} - 85 x^{2} + 25 :

X Intercepts

: \frac{85 + 5 285}{2}, 0, - \frac{85 + 5 285}{2}, 0, \frac{85 - 5 285}{2}, 0, - \frac{85 - 5 285}{2}, 0,

Y Intercepts

: (0, 25)

Asymptotes of

x^{4} - 85 x^{2} + 25 :

None

Extreme Points of

x^{4} - 85 x^{2} + 25 :

Minimum

(- \frac{85}{2}, - \frac{7125}{4}),

Maximum

(0, 25),

Minimum

(\frac{85}{2}, - \frac{7125}{4})

Popular Examples

f(x)=((x^3))/((4))

f (x) = \frac{( x ^{3} )}{( 4 )}

f(m)=(36m^2-9)/(25)

f (m) = \frac{36 m ^{2} - 9}{25}

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p(x)=0.02x^2+0.6x+20

p (x) = 0.02 x^{2} + 0.6 x + 20

f(x)=(10)/((sqrt(1-x)))

f (x) = \frac{10}{( 1 - x )}

Frequently Asked Questions (FAQ)

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