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Popular Functions >

f(x)=-3x^2+x+7

Solution

f (x) = - 3 x^{2} + x + 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{85}{12}

X Intercepts : (- \frac{- 1 + 85}{6}, 0), (\frac{1 + 85}{6}, 0), Y Intercepts : (0, 7)

Vertex : Maximum (\frac{1}{6}, \frac{85}{12})

Inverse : - \frac{- 1 + - 12 x + 85}{6}, - \frac{- 1 - - 12 x + 85}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{85}{12}]

Solution steps

Domain of

- 3 x^{2} + x + 7 : - \infty < x < \infty

Range of

- 3 x^{2} + x + 7 : f (x) \leq \frac{85}{12}

Axis interception points of

- 3 x^{2} + x + 7 :

X Intercepts

: (- \frac{- 1 + 85}{6}, 0), (\frac{1 + 85}{6}, 0),

Y Intercepts

: (0, 7)

Vertex of

- 3 x^{2} + x + 7 :

Maximum

(\frac{1}{6}, \frac{85}{12})

Inverse of

- 3 x^{2} + x + 7 : - \frac{- 1 + - 12 x + 85}{6}, - \frac{- 1 - - 12 x + 85}{6}

Graph

Popular Examples

g(x)=(2x(3x+1)^2(x-1)^2)/(9x^3-6x^2-3x)

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f(x)=(4x^3)/3+64x

y= 1/(sqrt(1-x))

Frequently Asked Questions (FAQ)

What is the f(x)=-3x^2+x+7 ?
The f(x)=-3x^2+x+7 is