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Popular >

f(x)=2x^2-8x-7

Solution

f (x) = 2 x^{2} - 8 x - 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 15

X Intercepts : (\frac{4 + 30}{2}, 0), (\frac{4 - 30}{2}, 0), Y Intercepts : (0, - 7)

Vertex : Minimum (2, - 15)

Inverse : \frac{8 + 8 x + 120}{4}, \frac{8 - 8 x + 120}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 15, \infty)

Solution steps

Domain of

2 x^{2} - 8 x - 7 : - \infty < x < \infty

Range of

2 x^{2} - 8 x - 7 : f (x) \geq - 15

Axis interception points of

2 x^{2} - 8 x - 7 :

X Intercepts

: (\frac{4 + 30}{2}, 0), (\frac{4 - 30}{2}, 0),

Y Intercepts

: (0, - 7)

Vertex of

2 x^{2} - 8 x - 7 :

Minimum

(2, - 15)

Inverse of

2 x^{2} - 8 x - 7 : \frac{8 + 8 x + 120}{4}, \frac{8 - 8 x + 120}{4}

Popular Examples

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f (x) = - x^{2} + 4 x - 3, 0 \leq x \leq 4

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f (x) = \frac{x ^{3} + 7 x ^{2} + 14 x + 8}{x ^{2} + 6 x + 8}

f(x)=(sqrt(16384+x^4))/(2x)

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f(x)=2x^3-5x^2+4x+3

f (x) = 2 x^{3} - 5 x^{2} + 4 x + 3

Frequently Asked Questions (FAQ)

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