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Popular >

f(x)=2x^2-6x-7

Solution

f (x) = 2 x^{2} - 6 x - 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{23}{2}

X Intercepts : (\frac{3 + 23}{2}, 0), (\frac{3 - 23}{2}, 0), Y Intercepts : (0, - 7)

Vertex : Minimum (\frac{3}{2}, - \frac{23}{2})

Inverse : \frac{3 + 2 x + 23}{2}, \frac{3 - 2 x + 23}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{23}{2}, \infty)

Solution steps

Domain of

2 x^{2} - 6 x - 7 : - \infty < x < \infty

Range of

2 x^{2} - 6 x - 7 : f (x) \geq - \frac{23}{2}

Axis interception points of

2 x^{2} - 6 x - 7 :

X Intercepts

: (\frac{3 + 23}{2}, 0), (\frac{3 - 23}{2}, 0),

Y Intercepts

: (0, - 7)

Vertex of

2 x^{2} - 6 x - 7 :

Minimum

(\frac{3}{2}, - \frac{23}{2})

Inverse of

2 x^{2} - 6 x - 7 : \frac{3 + 2 x + 23}{2}, \frac{3 - 2 x + 23}{2}

Popular Examples

f(x)=(x^2+7x)/(x^3-4x^2-12x)

f (x) = \frac{x ^{2} + 7 x}{x ^{3} - 4 x ^{2} - 12 x}

f(x)=sqrt(x^2-144)

f (x) = x^{2} - 144

f(x)=sqrt(x+x^2)

f (x) = x + x^{2}

f(x)=-1/2 sqrt(x+3)

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

f(x)=sqrt(4-\sqrt{x)}

f (x) = 4 - x

Frequently Asked Questions (FAQ)

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