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Popular >

y=3x^2-30x+68

Solution

y = 3 x^{2} - 30 x + 68

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 7

X Intercepts : (\frac{15 + 21}{3}, 0), (\frac{15 - 21}{3}, 0), Y Intercepts : (0, 68)

Vertex : Minimum (5, - 7)

Inverse : \frac{30 + 12 x + 84}{6}, \frac{30 - 12 x + 84}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 7, \infty)

Solution steps

Domain of

3 x^{2} - 30 x + 68 : - \infty < x < \infty

Range of

3 x^{2} - 30 x + 68 : f (x) \geq - 7

Axis interception points of

3 x^{2} - 30 x + 68 :

X Intercepts

: (\frac{15 + 21}{3}, 0), (\frac{15 - 21}{3}, 0),

Y Intercepts

: (0, 68)

Vertex of

3 x^{2} - 30 x + 68 :

Minimum

(5, - 7)

Inverse of

3 x^{2} - 30 x + 68 : \frac{30 + 12 x + 84}{6}, \frac{30 - 12 x + 84}{6}

Popular Examples

5y+4=((x+3)^2+1)/2

5 y + 4 = \frac{( x + 3 ) ^{2} + 1}{2}

x = - 3 y^{2} + 6 y + 2

6 y^{2} - 18 x = 0

x (x + 1) - 3 = - y

x^{2} - 8 x + 4 y - 20 = 0

Frequently Asked Questions (FAQ)

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