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Popular >

y=|6x^2+3x-3|

Solution

y = 6 x^{2} + 3 x - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- 1, 0), (\frac{1}{2}, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (- \frac{1}{4}, \frac{27}{8}), Minimum (\frac{1}{2}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

6 x^{2} + 3 x - 3 : f (x) \geq 0

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1, 0),

Maximum

(- \frac{1}{4}, \frac{27}{8}),

Minimum

(\frac{1}{2}, 0)

Popular Examples

f(x)=(x^2+2x-3)/((x-1)(x^2-4))

f (x) = \frac{x ^{2} + 2 x - 3}{( x - 1 ) ( x ^{2} - 4 )}

f(x)=e^{2x}sin(x)

f (x) = e^{2 x} sin (x)

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

F(u)=-3sin(2u+3.1416)

F (u) = - 3 sin (2 u + 3.1416)

f (x) = 4 cos (4 x)

Frequently Asked Questions (FAQ)

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