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Popular >

f(x)=-3/2 (x+8)(x+4)

Solution

f (x) = - \frac{3}{2} (x + 8) (x + 4)

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 6

X Intercepts : (- 8, 0), (- 4, 0), Y Intercepts : (0, - 48)

Vertex : Maximum (- 6, 6)

Inverse : - \frac{36 + - 24 x + 144}{6}, - \frac{36 - - 24 x + 144}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 6]

Solution steps

Domain of

- \frac{3}{2} (x + 8) (x + 4) : - \infty < x < \infty

Range of

- \frac{3}{2} (x + 8) (x + 4) : f (x) \leq 6

Axis interception points of

- \frac{3}{2} (x + 8) (x + 4) :

X Intercepts

: (- 8, 0), (- 4, 0),

Y Intercepts

: (0, - 48)

Vertex of

- \frac{3}{2} (x + 8) (x + 4) :

Maximum

(- 6, 6)

Inverse of

- \frac{3}{2} (x + 8) (x + 4) : - \frac{36 + - 24 x + 144}{6}, - \frac{36 - - 24 x + 144}{6}

Popular Examples

9 x^{2} + y = 10

5 x^{2} + 6 x + k (x) = 0

y^{2} + 4 x - 3 = 0

(y-4)^2=16(x+3)

(y - 4)^{2} = 16 (x + 3)

(y-8)^2=-2*(-8)(x+4)

(y - 8)^{2} = - 2 \cdot (- 8) (x + 4)

Frequently Asked Questions (FAQ)

What is the f(x)=-3/2 (x+8)(x+4) ?
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