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Popular >

f(c)=c^4-45c^2+100

Solution

f (c) = c^{4} - 45 c^{2} + 100

Solution

Domain : - \infty < c < \infty

Range : f (x) \geq - \frac{1625}{4}

X Intercepts : \frac{45 + 5 65}{2}, 0, - \frac{45 + 5 65}{2}, 0, \frac{45 - 5 65}{2}, 0, - \frac{45 - 5 65}{2}, 0, Y Intercepts : (0, 100)

Asymptotes : Horizontal y = c^{4} - 45 c^{2} + 100

Extreme Points : Minimum (- \frac{3 5}{2}, - \frac{1625}{4}), Maximum (0, 100), Minimum (\frac{3 5}{2}, - \frac{1625}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1625}{4}, \infty)

Solution steps

Domain of

c^{4} - 45 c^{2} + 100 : - \infty < c < \infty

Range of

c^{4} - 45 c^{2} + 100 : f (x) \geq - \frac{1625}{4}

Axis interception points of

c^{4} - 45 c^{2} + 100 :

X Intercepts

: \frac{45 + 5 65}{2}, 0, - \frac{45 + 5 65}{2}, 0, \frac{45 - 5 65}{2}, 0, - \frac{45 - 5 65}{2}, 0,

Y Intercepts

: (0, 100)

Asymptotes of

c^{4} - 45 c^{2} + 100 :

Horizontal

: y = c^{4} - 45 c^{2} + 100

Extreme Points of

c^{4} - 45 c^{2} + 100 :

Minimum

(- \frac{3 5}{2}, - \frac{1625}{4}),

Maximum

(0, 100),

Minimum

(\frac{3 5}{2}, - \frac{1625}{4})

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Frequently Asked Questions (FAQ)

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