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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{5}{2}

Y Intercepts : (0, 7)

Vertex : Minimum (- \frac{3}{2}, \frac{5}{2})

Inverse : \frac{- 3 + 2 x - 5}{2}, - \frac{2 x - 5 + 3}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{5}{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{5}{2}

Axis interception points of

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

Y Intercepts

: (0, 7)

Vertex of

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

Minimum

(- \frac{3}{2}, \frac{5}{2})

Inverse of

2 x^{2} + 6 x + 7 : \frac{- 3 + 2 x - 5}{2}, - \frac{2 x - 5 + 3}{2}

Popular Examples

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

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

y = (\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6)

f (x) = x (x + 1)^{2}

y= 1/(\sqrt[3]{x-2)}+sqrt(x(3-x))

f(x)=(x^2+1)/(x^2-16)

f (x) = \frac{x ^{2} + 1}{x ^{2} - 16}

Frequently Asked Questions (FAQ)

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