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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

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

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{4}{3}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 1)

Vertex of

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

Maximum

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

Inverse of

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

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Frequently Asked Questions (FAQ)

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