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Popular >

y=-3x^2+12x-10

Solution

y = - 3 x^{2} + 12 x - 10

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 2

X Intercepts : (\frac{6 - 6}{3}, 0), (\frac{6 + 6}{3}, 0), Y Intercepts : (0, - 10)

Vertex : Maximum (2, 2)

Inverse : - \frac{- 12 + - 12 x + 24}{6}, - \frac{- 12 - - 12 x + 24}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 2]

Solution steps

Domain of

- 3 x^{2} + 12 x - 10 : - \infty < x < \infty

Range of

- 3 x^{2} + 12 x - 10 : f (x) \leq 2

Axis interception points of

- 3 x^{2} + 12 x - 10 :

X Intercepts

: (\frac{6 - 6}{3}, 0), (\frac{6 + 6}{3}, 0),

Y Intercepts

: (0, - 10)

Vertex of

- 3 x^{2} + 12 x - 10 :

Maximum

(2, 2)

Inverse of

- 3 x^{2} + 12 x - 10 : - \frac{- 12 + - 12 x + 24}{6}, - \frac{- 12 - - 12 x + 24}{6}

Popular Examples

y=-x^5+3x^4+x^3-7x^2+4

y = - x^{5} + 3 x^{4} + x^{3} - 7 x^{2} + 4

f (y) = y^{\frac{3}{7}}

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

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

f(x)=x^3+4x^2-7x-10

f (x) = x^{3} + 4 x^{2} - 7 x - 10

Frequently Asked Questions (FAQ)

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