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Popular >

p(x)= 3/2 x^3+2x^2+1/2 x+1

Solution

p (x) = \frac{3}{2} x^{3} + 2 x^{2} + \frac{1}{2} x + 1

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1.42710 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 7}{9}, \frac{10 + 7 7}{243} + 1), Minimum (\frac{- 4 + 7}{9}, \frac{10 - 7 7}{243} + 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{3}{2} x^{3} + 2 x^{2} + \frac{1}{2} x + 1 : - \infty < x < \infty

Range of

\frac{3}{2} x^{3} + 2 x^{2} + \frac{1}{2} x + 1 : - \infty < f (x) < \infty

Axis interception points of

\frac{3}{2} x^{3} + 2 x^{2} + \frac{1}{2} x + 1 :

X Intercepts

: (- 1.42710 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{3}{2} x^{3} + 2 x^{2} + \frac{1}{2} x + 1 :

None

Extreme Points of

\frac{3}{2} x^{3} + 2 x^{2} + \frac{1}{2} x + 1 :

Maximum

(- \frac{4 + 7}{9}, \frac{10 + 7 7}{243} + 1),

Minimum

(\frac{- 4 + 7}{9}, \frac{10 - 7 7}{243} + 1)

Popular Examples

f(x)=(ln(1+x))/((1+x^2))

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

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

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

y = \frac{1}{2} x^{2} - 2 x

f(x)=9x^2-12x-4

f (x) = 9 x^{2} - 12 x - 4

f (x) = x^{2} + 3 x + 15

Frequently Asked Questions (FAQ)

What is the p(x)= 3/2 x^3+2x^2+1/2 x+1 ?
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