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Popular >

f(x)=2x^3+3x^2-12x+5

Solution

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 5

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{1}{2}, 0), (- 1 + 6, 0), (- 1 - 6, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (- 2, 25), Minimum (1, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

2 x^{3} + 3 x^{2} - 12 x + 5 : - \infty < x < \infty

Range of

2 x^{3} + 3 x^{2} - 12 x + 5 : - \infty < f (x) < \infty

Axis interception points of

2 x^{3} + 3 x^{2} - 12 x + 5 :

X Intercepts

: (\frac{1}{2}, 0), (- 1 + 6, 0), (- 1 - 6, 0),

Y Intercepts

: (0, 5)

Asymptotes of

2 x^{3} + 3 x^{2} - 12 x + 5 :

None

Extreme Points of

2 x^{3} + 3 x^{2} - 12 x + 5 :

Maximum

(- 2, 25),

Minimum

(1, - 2)

Popular Examples

y = - 2 x^{2} + 6

f (n) = 3 n - 5

f (n) = 3 n - 2

f (x) = - 3 x - 8

y=(cos(x))/(1-sin(x))

y = \frac{cos ( x )}{1 - sin ( x )}

Frequently Asked Questions (FAQ)

What is the f(x)=2x^3+3x^2-12x+5 ?
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