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Popular Functions >

y=-3/2 x^2-6x

Solution

y = - \frac{3}{2} x^{2} - 6 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 6

X Intercepts : (- 4, 0), (0, 0), Y Intercepts : (0, 0)

Vertex : Maximum (- 2, 6)

Inverse : - \frac{12 + 144 - 24 x}{6}, - \frac{12 - 144 - 24 x}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 6]

Solution steps

Domain of

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

Range of

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

Axis interception points of

- \frac{3}{2} x^{2} - 6 x :

X Intercepts

: (- 4, 0), (0, 0),

Y Intercepts

: (0, 0)

Vertex of

- \frac{3}{2} x^{2} - 6 x :

Maximum

(- 2, 6)

Inverse of

- \frac{3}{2} x^{2} - 6 x : - \frac{12 + 144 - 24 x}{6}, - \frac{12 - 144 - 24 x}{6}

Graph

Popular Examples

f(x)=x^5-5x^3+4x

f(x)=2sqrt(x+4)-6

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f(x)=sin(xcos(x))

f(x)=log_{3}(5x+4)+log_{3}(x^2+2)

Frequently Asked Questions (FAQ)

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