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Popular >

f(x)=e^{2x}-e^x-12

Solution

f (x) = e^{2 x} - e^{x} - 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{49}{4}

X Intercepts : (2 ln (2), 0), Y Intercepts : (0, - 12)

Asymptotes : Horizontal y = - 12

Extreme Points : Minimum (- ln (2), - \frac{49}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{49}{4}, \infty)

Solution steps

Domain of

e^{2 x} - e^{x} - 12 : - \infty < x < \infty

Range of

e^{2 x} - e^{x} - 12 : f (x) \geq - \frac{49}{4}

Axis interception points of

e^{2 x} - e^{x} - 12 :

X Intercepts

: (2 ln (2), 0),

Y Intercepts

: (0, - 12)

Asymptotes of

e^{2 x} - e^{x} - 12 :

Horizontal

: y = - 12

Extreme Points of

e^{2 x} - e^{x} - 12 :

Minimum

(- ln (2), - \frac{49}{4})

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Frequently Asked Questions (FAQ)

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