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Popular >

f(x)=2x^2+6x+2

Solution

f (x) = 2 x^{2} + 6 x + 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{5}{2}

X Intercepts : (\frac{- 3 + 5}{2}, 0), (- \frac{3 + 5}{2}, 0), Y Intercepts : (0, 2)

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 + 2 : - \infty < x < \infty

Range of

2 x^{2} + 6 x + 2 : f (x) \geq - \frac{5}{2}

Axis interception points of

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

X Intercepts

: (\frac{- 3 + 5}{2}, 0), (- \frac{3 + 5}{2}, 0),

Y Intercepts

: (0, 2)

Vertex of

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

Minimum

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

Inverse of

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

Popular Examples

y=1 ,/3 x+2y=-x-2

y = 1 \frac{,}{3} x + 2 y = - x - 2

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

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

f(x)=sqrt(2x+5+2\sqrt{x^2+5x+6)}

f (x) = 2 x + 5 + 2 x^{2} + 5 x + 6

f (x) = x^{2} + 4 x + 24

f(x)=x^4+21x^2-100

f (x) = x^{4} + 21 x^{2} - 100

Frequently Asked Questions (FAQ)

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