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Popular >

f(x)=2x^2-8x-9

Solution

f (x) = 2 x^{2} - 8 x - 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 17

X Intercepts : (\frac{4 + 34}{2}, 0), (\frac{4 - 34}{2}, 0), Y Intercepts : (0, - 9)

Vertex : Minimum (2, - 17)

Inverse : \frac{8 + 8 x + 136}{4}, \frac{8 - 8 x + 136}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 17, \infty)

Solution steps

Domain of

2 x^{2} - 8 x - 9 : - \infty < x < \infty

Range of

2 x^{2} - 8 x - 9 : f (x) \geq - 17

Axis interception points of

2 x^{2} - 8 x - 9 :

X Intercepts

: (\frac{4 + 34}{2}, 0), (\frac{4 - 34}{2}, 0),

Y Intercepts

: (0, - 9)

Vertex of

2 x^{2} - 8 x - 9 :

Minimum

(2, - 17)

Inverse of

2 x^{2} - 8 x - 9 : \frac{8 + 8 x + 136}{4}, \frac{8 - 8 x + 136}{4}

Popular Examples

f(x)=(2x^3+3x-1)/(x^2-4)

f (x) = \frac{2 x ^{3} + 3 x - 1}{x ^{2} - 4}

y=(2x^2-3x+1)/(2x^2+8x+6)

y = \frac{2 x ^{2} - 3 x + 1}{2 x ^{2} + 8 x + 6}

y=-0.0556x^2+1.6661x-0.1612

y = - 0.0556 x^{2} + 1.6661 x - 0.1612

f(x)=(x^4}{12}+\frac{x^3)/6-x^2+x

f (x) = \frac{x ^{4}}{12} + \frac{x ^{3}}{6} - x^{2} + x

f (x) = \frac{x ^{6}}{2}

Frequently Asked Questions (FAQ)

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