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Popular >

y=-3x^2+4x-1

Solution

y = - 3 x^{2} + 4 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{1}{3}

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

Vertex : Maximum (\frac{2}{3}, \frac{1}{3})

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{1}{3}]

Solution steps

Domain of

- 3 x^{2} + 4 x - 1 : - \infty < x < \infty

Range of

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

Axis interception points of

- 3 x^{2} + 4 x - 1 :

X Intercepts

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

Y Intercepts

: (0, - 1)

Vertex of

- 3 x^{2} + 4 x - 1 :

Maximum

(\frac{2}{3}, \frac{1}{3})

Inverse of

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

Popular Examples

y = - 3 x^{2} + 4 x - 5

f(θ)=(cos(2θ))/2

f (θ) = \frac{cos ( 2 θ )}{2}

y = \frac{1}{( x - 4 ) ^{2}}

h(t)=-6t^2+120t

h (t) = - 6 t^{2} + 120 t

f(x)=-log_{10}(-x)

f (x) = - lo g_{10} (- x)

Frequently Asked Questions (FAQ)

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