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Popular >

f(x)=-3x^2+4x+6

Solution

f (x) = - 3 x^{2} + 4 x + 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{22}{3}

X Intercepts : (- \frac{- 2 + 22}{3}, 0), (\frac{2 + 22}{3}, 0), Y Intercepts : (0, 6)

Vertex : Maximum (\frac{2}{3}, \frac{22}{3})

Inverse : - \frac{- 2 + - 3 x + 22}{3}, \frac{- 3 x + 22 + 2}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{22}{3}]

Solution steps

Domain of

- 3 x^{2} + 4 x + 6 : - \infty < x < \infty

Range of

- 3 x^{2} + 4 x + 6 : f (x) \leq \frac{22}{3}

Axis interception points of

- 3 x^{2} + 4 x + 6 :

X Intercepts

: (- \frac{- 2 + 22}{3}, 0), (\frac{2 + 22}{3}, 0),

Y Intercepts

: (0, 6)

Vertex of

- 3 x^{2} + 4 x + 6 :

Maximum

(\frac{2}{3}, \frac{22}{3})

Inverse of

- 3 x^{2} + 4 x + 6 : - \frac{- 2 + - 3 x + 22}{3}, \frac{- 3 x + 22 + 2}{3}

Popular Examples

f(x)=2x^3-7x^2-3x+12

f (x) = 2 x^{3} - 7 x^{2} - 3 x + 12

f(x)=-4x^2+4x+5

f (x) = - 4 x^{2} + 4 x + 5

f(x)=log_{10}(36-x^2)

f (x) = lo g_{10} (36 - x^{2})

y=cos(log_{10}(4x))

y = cos (lo g_{10} (4 x))

f(t)=((sqrt(t)+1)/((sqrt(t))))^3

f (t) = (\frac{t + 1}{( t )})^{3}

Frequently Asked Questions (FAQ)

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