What is the f(x)=0.5x^2-2x-7 ?

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f(x)=0.5x^2-2x-7

f (x) = 0.5 x^{2} - 2 x - 7

Domain : - \infty < x < \infty

Range : f (x) \geq - 9

X Intercepts : (2 + 32, 0), (2 - 32, 0), Y Intercepts : (0, - 7)

Vertex : Minimum (2, - 9)

Inverse : \frac{20 + 200 x + 1800}{10}, \frac{20 - 200 x + 1800}{10}

Interval Notation

Domain : (- \infty, \infty)

Range : [- 9, \infty)

Solution steps

Domain of

0.5 x^{2} - 2 x - 7 : - \infty < x < \infty

Range of

0.5 x^{2} - 2 x - 7 : f (x) \geq - 9

Axis interception points of

0.5 x^{2} - 2 x - 7 :

X Intercepts

: (2 + 32, 0), (2 - 32, 0),

Y Intercepts

: (0, - 7)

Vertex of

0.5 x^{2} - 2 x - 7 :

Minimum

(2, - 9)

Inverse of

0.5 x^{2} - 2 x - 7 : \frac{20 + 200 x + 1800}{10}, \frac{20 - 200 x + 1800}{10}

f (x) = lo g_{2} (x^{2} - 6 x + 8)

f (x) = x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64

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

y = e^{3 x} sin^{4} (x)

f (x) = \frac{cos ( 2 θ ) + sin ^{2} ( θ )}{2 cos ( θ )}