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Popular >

f(x)=-(x-4)^2(x^2-4)

Solution

f (x) = - (x - 4)^{2} (x^{2} - 4)

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 243 + 36

X Intercepts : (4, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 64)

Asymptotes : None

Extreme Points : Maximum (1 - 3, 243 + 36), Minimum (1 + 3, - 243 + 36), Maximum (4, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 243 + 36]

Solution steps

Domain of

- (x - 4)^{2} (x^{2} - 4) : - \infty < x < \infty

Range of

- (x - 4)^{2} (x^{2} - 4) : f (x) \leq 243 + 36

Axis interception points of

- (x - 4)^{2} (x^{2} - 4) :

X Intercepts

: (4, 0), (- 2, 0), (2, 0),

Y Intercepts

: (0, 64)

Asymptotes of

- (x - 4)^{2} (x^{2} - 4) :

None

Extreme Points of

- (x - 4)^{2} (x^{2} - 4) :

Maximum

(1 - 3, 243 + 36),

Minimum

(1 + 3, - 243 + 36),

Maximum

(4, 0)

Popular Examples

f (x) = x^{5} + 3 x

f (x) = \frac{2}{3 + x}

y=-3x^2+239x-2268

y = - 3 x^{2} + 239 x - 2268

y = \frac{3}{9} x - \frac{100}{9}

f(x)=\sqrt[3]{(x-4)^2}

Frequently Asked Questions (FAQ)

What is the f(x)=-(x-4)^2(x^2-4) ?
The f(x)=-(x-4)^2(x^2-4) is