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Popular >

f(x)=(2/3 x^2+4/5 x-2/3)^2

Solution

f (x) = (\frac{2}{3} x^{2} + \frac{4}{5} x - \frac{2}{3})^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (\frac{- 3 + 34}{5}, 0), (- \frac{3 + 34}{5}, 0), Y Intercepts : (0, \frac{4}{9})

Asymptotes : None

Extreme Points : Minimum (- \frac{3 + 34}{5}, 0), Maximum (- \frac{3}{5}, \frac{4624}{5625}), Minimum (\frac{- 3 + 34}{5}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(\frac{2}{3} x^{2} + \frac{4}{5} x - \frac{2}{3})^{2} : - \infty < x < \infty

Range of

(\frac{2}{3} x^{2} + \frac{4}{5} x - \frac{2}{3})^{2} : f (x) \geq 0

Axis interception points of

(\frac{2}{3} x^{2} + \frac{4}{5} x - \frac{2}{3})^{2} :

X Intercepts

: (\frac{- 3 + 34}{5}, 0), (- \frac{3 + 34}{5}, 0),

Y Intercepts

: (0, \frac{4}{9})

Asymptotes of

(\frac{2}{3} x^{2} + \frac{4}{5} x - \frac{2}{3})^{2} :

None

Extreme Points of

(\frac{2}{3} x^{2} + \frac{4}{5} x - \frac{2}{3})^{2} :

Minimum

(- \frac{3 + 34}{5}, 0),

Maximum

(- \frac{3}{5}, \frac{4624}{5625}),

Minimum

(\frac{- 3 + 34}{5}, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=(2/3 x^2+4/5 x-2/3)^2 ?
The f(x)=(2/3 x^2+4/5 x-2/3)^2 is