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Popular >

f(x)=12x^2-216x+665

Solution

f (x) = 12 x^{2} - 216 x + 665

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 307

X Intercepts : (\frac{54 + 921}{6}, 0), (\frac{54 - 921}{6}, 0), Y Intercepts : (0, 665)

Vertex : Minimum (9, - 307)

Inverse : \frac{216 + 48 x + 14736}{24}, \frac{216 - 48 x + 14736}{24}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 307, \infty)

Solution steps

Domain of

12 x^{2} - 216 x + 665 : - \infty < x < \infty

Range of

12 x^{2} - 216 x + 665 : f (x) \geq - 307

Axis interception points of

12 x^{2} - 216 x + 665 :

X Intercepts

: (\frac{54 + 921}{6}, 0), (\frac{54 - 921}{6}, 0),

Y Intercepts

: (0, 665)

Vertex of

12 x^{2} - 216 x + 665 :

Minimum

(9, - 307)

Inverse of

12 x^{2} - 216 x + 665 : \frac{216 + 48 x + 14736}{24}, \frac{216 - 48 x + 14736}{24}

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Frequently Asked Questions (FAQ)

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