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Popular >

f(x)=2x^3-3x^2+x+1

Solution

f (x) = 2 x^{3} - 3 x^{2} + x + 1

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 0.39816 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{3 - 3}{6}, \frac{1}{6 3} + 1), Minimum (\frac{3 + 3}{6}, - \frac{1}{6 3} + 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

2 x^{3} - 3 x^{2} + x + 1 :

X Intercepts

: (- 0.39816 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

2 x^{3} - 3 x^{2} + x + 1 :

None

Extreme Points of

2 x^{3} - 3 x^{2} + x + 1 :

Maximum

(\frac{3 - 3}{6}, \frac{1}{6 3} + 1),

Minimum

(\frac{3 + 3}{6}, - \frac{1}{6 3} + 1)

Popular Examples

f(x)=(x^3+2x)/(x^2-2x-3)

f (x) = \frac{x ^{3} + 2 x}{x ^{2} - 2 x - 3}

f (x) = ∣ - x + 1 ∣

f(x)=ln((e^x+1)/(e^x-1))

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

y=arccot((x^3-1)/(x^3+1))

y = arccot (\frac{x ^{3} - 1}{x ^{3} + 1})

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

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

Frequently Asked Questions (FAQ)

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