What is the f(x)=[(x^2-3x+1)(3x^2+5x-5)] ?

The f(x)=[(x^2-3x+1)(3x^2+5x-5)] is

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f(x)=[(x^2-3x+1)(3x^2+5x-5)]

f (x) = [(x^{2} - 3 x + 1) (3 x^{2} + 5 x - 5)]

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{- 615 - 130 39}{36} - 5

X Intercepts : (\frac{3 + 5}{2}, 0), (\frac{3 - 5}{2}, 0), (\frac{- 5 + 85}{6}, 0), (\frac{- 5 - 85}{6}, 0), Y Intercepts : (0, - 5)

Asymptotes : None

Extreme Points : Minimum (- \frac{3 + 39}{6}, \frac{- 615 - 130 39}{36} - 5), Maximum (\frac{- 3 + 39}{6}, \frac{130 39 - 615}{36} - 5), Minimum (2, - 17)

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 615 - 130 39}{36} - 5, \infty)

Solution steps

Domain of

(x^{2} - 3 x + 1) (3 x^{2} + 5 x - 5) : - \infty < x < \infty

Range of

(x^{2} - 3 x + 1) (3 x^{2} + 5 x - 5) : f (x) \geq \frac{- 615 - 130 39}{36} - 5

Axis interception points of

(x^{2} - 3 x + 1) (3 x^{2} + 5 x - 5) :

X Intercepts

: (\frac{3 + 5}{2}, 0), (\frac{3 - 5}{2}, 0), (\frac{- 5 + 85}{6}, 0), (\frac{- 5 - 85}{6}, 0),

Y Intercepts

: (0, - 5)

Asymptotes of

(x^{2} - 3 x + 1) (3 x^{2} + 5 x - 5) :

None

Extreme Points of

(x^{2} - 3 x + 1) (3 x^{2} + 5 x - 5) :

Minimum

(- \frac{3 + 39}{6}, \frac{- 615 - 130 39}{36} - 5),

Maximum

(\frac{- 3 + 39}{6}, \frac{130 39 - 615}{36} - 5),

Minimum

(2, - 17)

f (x) = cot^{2} (x) + csc (x) - 19

f (x) = lo g_{2} (3 x + 5)

f (x) = (1 + x)^{x}

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

f (x) = x^{4} + x^{2} - 1