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Popular >

y=3x^2-2x-1

Solution

y = 3 x^{2} - 2 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{4}{3}

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

Vertex : Minimum (\frac{1}{3}, - \frac{4}{3})

Inverse : \frac{1 + 3 x + 4}{3}, \frac{1 - 3 x + 4}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{4}{3}, \infty)

Solution steps

Domain of

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

Range of

3 x^{2} - 2 x - 1 : f (x) \geq - \frac{4}{3}

Axis interception points of

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

X Intercepts

: (1, 0), (- \frac{1}{3}, 0),

Y Intercepts

: (0, - 1)

Vertex of

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

Minimum

(\frac{1}{3}, - \frac{4}{3})

Inverse of

3 x^{2} - 2 x - 1 : \frac{1 + 3 x + 4}{3}, \frac{1 - 3 x + 4}{3}

Popular Examples

f(x)=(x^2+2x)/(-x^2+9)

f (x) = \frac{x ^{2} + 2 x}{- x ^{2} + 9}

f(x)= 2/(x+2)+(1-sqrt(9-x^2))/3

f (x) = \frac{2}{x + 2} + \frac{1 - 9 - x ^{2}}{3}

f(x)=(-1)/(x+1)

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

f(x)=(2-sqrt(x-2))/(x^2-36)

f (x) = \frac{2 - x - 2}{x ^{2} - 36}

f(x)=(3x^3-4x^2-108x+139)/(x^2-36)

f (x) = \frac{3 x ^{3} - 4 x ^{2} - 108 x + 139}{x ^{2} - 36}

Frequently Asked Questions (FAQ)

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