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Popular >

f(x)=(3x^2-5x)e^x

Solution

f (x) = (3 x^{2} - 5 x) e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq e^{\frac{- 1 + 61}{6}} (6 - 61)

X Intercepts : (\frac{5}{3}, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (\frac{- 1 - 61}{6}, e^{\frac{- 1 - 61}{6}} (6 + 61)), Minimum (\frac{- 1 + 61}{6}, e^{\frac{- 1 + 61}{6}} (6 - 61))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [e^{\frac{- 1 + 61}{6}} (6 - 61), \infty)

Solution steps

Domain of

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

Range of

(3 x^{2} - 5 x) e^{x} : f (x) \geq e^{\frac{- 1 + 61}{6}} (6 - 61)

Axis interception points of

(3 x^{2} - 5 x) e^{x} :

X Intercepts

: (\frac{5}{3}, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(3 x^{2} - 5 x) e^{x} :

Horizontal

: y = 0

Extreme Points of

(3 x^{2} - 5 x) e^{x} :

Maximum

(\frac{- 1 - 61}{6}, e^{\frac{- 1 - 61}{6}} (6 + 61)),

Minimum

(\frac{- 1 + 61}{6}, e^{\frac{- 1 + 61}{6}} (6 - 61))

Popular Examples

f(x)=tan^2(x)sec(x)

f (x) = tan^{2} (x) sec (x)

y = - 2 x^{2} - 4 x - 3

y = - x^{2} - 3 x + 18

f (x) = 48 x^{2}

f(x)=6x+arctan(9x)

f (x) = 6 x + arctan (9 x)

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2-5x)e^x ?
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