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Popular Functions >

y=2x^2+8x+3

Solution

y = 2 x^{2} + 8 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (\frac{- 4 + 10}{2}, 0), (- \frac{4 + 10}{2}, 0), Y Intercepts : (0, 3)

Vertex : Minimum (- 2, - 5)

Inverse : \frac{- 8 + 8 x + 40}{4}, \frac{- 8 - 8 x + 40}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, \infty)

Solution steps

Domain of

2 x^{2} + 8 x + 3 : - \infty < x < \infty

Range of

2 x^{2} + 8 x + 3 : f (x) \geq - 5

Axis interception points of

2 x^{2} + 8 x + 3 :

X Intercepts

: (\frac{- 4 + 10}{2}, 0), (- \frac{4 + 10}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

2 x^{2} + 8 x + 3 :

Minimum

(- 2, - 5)

Inverse of

2 x^{2} + 8 x + 3 : \frac{- 8 + 8 x + 40}{4}, \frac{- 8 - 8 x + 40}{4}

Graph

Popular Examples

f(x)=x^2+12x+32

f(x)=(sqrt(x))/(1+x)

y=(4arctan(x)-pi)/(x^5-x)

f(s)=((s^2+8s+20))/((s^3+9s^2+23s+15))

Frequently Asked Questions (FAQ)

What is the y=2x^2+8x+3 ?
The y=2x^2+8x+3 is