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Popular >

f(x)=e^x-3x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 3 - 3 ln (3)

X Intercepts : (- W_{- 1} (- \frac{1}{3}), 0), (- W_{0} (- \frac{1}{3}), 0), Y Intercepts : (0, 1)

Asymptotes : Slant y = - 3 x

Extreme Points : Minimum (ln (3), 3 - 3 ln (3))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3 - 3 ln (3), \infty)

Solution steps

Domain of

e^{x} - 3 x : - \infty < x < \infty

Range of

e^{x} - 3 x : f (x) \geq 3 - 3 ln (3)

Axis interception points of

e^{x} - 3 x :

X Intercepts

: (- W_{- 1} (- \frac{1}{3}), 0), (- W_{0} (- \frac{1}{3}), 0),

Y Intercepts

: (0, 1)

Asymptotes of

e^{x} - 3 x :

Slant

: y = - 3 x

Extreme Points of

e^{x} - 3 x :

Minimum

(ln (3), 3 - 3 ln (3))

Popular Examples

f(x)=(-11x+1)/(-30x^2-25x+5)

f (x) = \frac{- 11 x + 1}{- 30 x ^{2} - 25 x + 5}

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

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

y=(x^2+1)/(x+1)+\sqrt[3]{x}

f(x)=5x^2+10x+3

f (x) = 5 x^{2} + 10 x + 3

f(x)=x^3-6x^2-15x

f (x) = x^{3} - 6 x^{2} - 15 x

Frequently Asked Questions (FAQ)

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