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Popular >

f(t)=(t^2-4)^{2/3}

Solution

f (t) = (t^{2} - 4)^{\frac{2}{3}}

Solution

Domain : - \infty < t < \infty

Range : f (t) \geq 0

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, (- 4)^{\frac{2}{3}})

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(t^{2} - 4)^{\frac{2}{3}} : - \infty < t < \infty

Range of

(t^{2} - 4)^{\frac{2}{3}} : f (t) \geq 0

Axis interception points of

(t^{2} - 4)^{\frac{2}{3}} :

X Intercepts

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

Y Intercepts

: (0, (- 4)^{\frac{2}{3}})

Asymptotes of

(t^{2} - 4)^{\frac{2}{3}} :

None

Extreme Points of

(t^{2} - 4)^{\frac{2}{3}} :

Minimum

(- 2, 0),

Maximum

(0, (- 4)^{\frac{2}{3}}),

Minimum

(2, 0)

Popular Examples

f(x)=16x^4+80x^3-191x^2+8x+15

f (x) = 16 x^{4} + 80 x^{3} - 191 x^{2} + 8 x + 15

f (x) = \frac{2 x - 5}{x}

simplify (2(y+5))/7+1/14 simplify

\frac{2 ( y + 5 )}{7} + \frac{1}{14}

y = x^{2} - 2 x

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

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

Frequently Asked Questions (FAQ)

What is the f(t)=(t^2-4)^{2/3} ?
The f(t)=(t^2-4)^{2/3} is