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Popular >

f(x)=5x^3-30x^2+45x

Solution

f (x) = 5 x^{3} - 30 x^{2} + 45 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (1, 20), Minimum (3, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

5 x^{3} - 30 x^{2} + 45 x : - \infty < x < \infty

Range of

5 x^{3} - 30 x^{2} + 45 x : - \infty < f (x) < \infty

Axis interception points of

5 x^{3} - 30 x^{2} + 45 x :

X Intercepts

: (0, 0), (3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 x^{3} - 30 x^{2} + 45 x :

None

Extreme Points of

5 x^{3} - 30 x^{2} + 45 x :

Maximum

(1, 20),

Minimum

(3, 0)

Popular Examples

y=((8x-1)^5)/((3x-1)^3)

y = \frac{( 8 x - 1 ) ^{5}}{( 3 x - 1 ) ^{3}}

f(x)=(3x+1)/(x^2)

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

y=(x-1)(x-2)(x-3)

y = (x - 1) (x - 2) (x - 3)

periodicity of f(x)=2cos(2x)cos(x)periodicity

f (x) = 2 cos (2 x) cos (x)

f(x)=2x+3,-2<= x<1

f (x) = 2 x + 3, - 2 \leq x < 1

Frequently Asked Questions (FAQ)

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