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Popular >

f(a)=a^3+3a^2+2a+3

Solution

f (a) = a^{3} + 3 a^{2} + 2 a + 3

Solution

Domain : - \infty < a < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (- 2.67169 \dots, 0), Y Intercepts : (0, 3)

Asymptotes : Horizontal y = a^{3} + 3 a^{2} + 2 a + 3

Extreme Points : Maximum (- \frac{3 + 1}{3}, 23 + \frac{- 12 3 - 16}{3 3} + 7), Minimum (\frac{- 3 + 3}{3}, - 23 + \frac{16 - 12 3}{3 3} + 7)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

a^{3} + 3 a^{2} + 2 a + 3 : - \infty < a < \infty

Range of

a^{3} + 3 a^{2} + 2 a + 3 : - \infty < f (x) < \infty

Axis interception points of

a^{3} + 3 a^{2} + 2 a + 3 :

X Intercepts

: (- 2.67169 \dots, 0),

Y Intercepts

: (0, 3)

Asymptotes of

a^{3} + 3 a^{2} + 2 a + 3 :

Horizontal

: y = a^{3} + 3 a^{2} + 2 a + 3

Extreme Points of

a^{3} + 3 a^{2} + 2 a + 3 :

Maximum

(- \frac{3 + 1}{3}, 23 + \frac{- 12 3 - 16}{3 3} + 7),

Minimum

(\frac{- 3 + 3}{3}, - 23 + \frac{16 - 12 3}{3 3} + 7)

Popular Examples

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f (x) = sin (x^{4}) + cos (x^{4})

f (t) = e^{t} - 1

y=(x+2)^2(x-3)^3

y = (x + 2)^{2} (x - 3)^{3}

f (t) = e^{t} - 2

f(x)=x^2+14x+74

f (x) = x^{2} + 14 x + 74

Frequently Asked Questions (FAQ)

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