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Popular >

f(x)=sqrt(16-x^4)

Solution

f (x) = 16 - x^{4}

Solution

Domain : - 2 \leq x \leq 2

Range : 0 \leq f (x) \leq 4

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (0, 4), Minimum (2, 0)

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Interval Notation

Domain : [- 2, 2]

Range : [0, 4]

Solution steps

Domain of

16 - x^{4} : - 2 \leq x \leq 2

Range of

16 - x^{4} : 0 \leq f (x) \leq 4

Axis interception points of

16 - x^{4} :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, 4)

Asymptotes of

16 - x^{4} :

None

Extreme Points of

16 - x^{4} :

Minimum

(- 2, 0),

Maximum

(0, 4),

Minimum

(2, 0)

Popular Examples

f(x)=(1/2)^{x+3}-4

f (x) = (\frac{1}{2})^{x + 3} - 4

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

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

y=sqrt(x^4)-sqrt(36x^2)+sqrt(81)

y = x^{4} - 36 x^{2} + 81

f(x)= 1/(sqrt(x+5))

f (x) = \frac{1}{x + 5}

f(x)=(1+cos(2x))/(1-cos(2x))

f (x) = \frac{1 + cos ( 2 x )}{1 - cos ( 2 x )}

Frequently Asked Questions (FAQ)

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