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Popular >

f(x)=-3x^2-12x-8

Solution

f (x) = - 3 x^{2} - 12 x - 8

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 4

X Intercepts : (- \frac{2 ( 3 + 3 )}{3}, 0), (- \frac{2 ( 3 - 3 )}{3}, 0), Y Intercepts : (0, - 8)

Vertex : Maximum (- 2, 4)

Inverse : - \frac{12 + - 12 x + 48}{6}, - \frac{12 - - 12 x + 48}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 4]

Solution steps

Domain of

- 3 x^{2} - 12 x - 8 : - \infty < x < \infty

Range of

- 3 x^{2} - 12 x - 8 : f (x) \leq 4

Axis interception points of

- 3 x^{2} - 12 x - 8 :

X Intercepts

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

Y Intercepts

: (0, - 8)

Vertex of

- 3 x^{2} - 12 x - 8 :

Maximum

(- 2, 4)

Inverse of

- 3 x^{2} - 12 x - 8 : - \frac{12 + - 12 x + 48}{6}, - \frac{12 - - 12 x + 48}{6}

Popular Examples

f(x)=(x^2-2x)/(x+2)

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

y=-29x^2+1388x-10040

y = - 29 x^{2} + 1388 x - 10040

f (x) = - ∣ x - 5 ∣

f (x) = 3 x^{2} + 5 - x

f (x) = ln (5)

Frequently Asked Questions (FAQ)

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