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Popular >

g(x)=(x+1)^2e^{2x}

Solution

g (x) = (x + 1)^{2} e^{2 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

X Intercepts : (- 1, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 2, \frac{1}{e ^{4}}), Minimum (- 1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

(x + 1)^{2} e^{2 x} : f (x) > 0

Axis interception points of

(x + 1)^{2} e^{2 x} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

(x + 1)^{2} e^{2 x} :

Horizontal

: y = 0

Extreme Points of

(x + 1)^{2} e^{2 x} :

Maximum

(- 2, \frac{1}{e ^{4}}),

Minimum

(- 1, 0)

Popular Examples

f (c) = c + 3

f(x)=x^2-\sqrt[5]{x}

f(s)=(2s+10)/(s^2+4s+5)

f (s) = \frac{2 s + 10}{s ^{2} + 4 s + 5}

f(x)=sec^2(x)+cos^2(x)

f (x) = sec^{2} (x) + cos^{2} (x)

f(x)=(ln(x))^{1/2}

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

Frequently Asked Questions (FAQ)

What is the g(x)=(x+1)^2e^{2x} ?
The g(x)=(x+1)^2e^{2x} is