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Popular >

y=x(x-2)(x-5)

Solution

y = x (x - 2) (x - 5)

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (2, 0), (5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{7 - 19}{3}, \frac{38 19 - 56}{27}), Minimum (\frac{7 + 19}{3}, \frac{- 56 - 38 19}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x (x - 2) (x - 5) : - \infty < x < \infty

Range of

x (x - 2) (x - 5) : - \infty < f (x) < \infty

Axis interception points of

x (x - 2) (x - 5) :

X Intercepts

: (0, 0), (2, 0), (5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x (x - 2) (x - 5) :

None

Extreme Points of

x (x - 2) (x - 5) :

Maximum

(\frac{7 - 19}{3}, \frac{38 19 - 56}{27}),

Minimum

(\frac{7 + 19}{3}, \frac{- 56 - 38 19}{27})

Popular Examples

f (x) = 27 x^{\frac{2}{3}}

y = 4 (x - 2)^{2} - 6

f(x)=x^5-2x^4+x^3+7x^2-12x+10

f (x) = x^{5} - 2 x^{4} + x^{3} + 7 x^{2} - 12 x + 10

derivative of cos(3x-sin(3x))

\frac{d}{d x} (cos (3 x) - sin (3 x))

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

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

Frequently Asked Questions (FAQ)

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