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Popular >

y=2x^2+5x+3

Solution

y = 2 x^{2} + 5 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{8}

X Intercepts : (- 1, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, 3)

Vertex : Minimum (- \frac{5}{4}, - \frac{1}{8})

Inverse : \frac{- 5 + 8 x + 1}{4}, \frac{- 5 - 8 x + 1}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{8}, \infty)

Solution steps

Domain of

2 x^{2} + 5 x + 3 : - \infty < x < \infty

Range of

2 x^{2} + 5 x + 3 : f (x) \geq - \frac{1}{8}

Axis interception points of

2 x^{2} + 5 x + 3 :

X Intercepts

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

Y Intercepts

: (0, 3)

Vertex of

2 x^{2} + 5 x + 3 :

Minimum

(- \frac{5}{4}, - \frac{1}{8})

Inverse of

2 x^{2} + 5 x + 3 : \frac{- 5 + 8 x + 1}{4}, \frac{- 5 - 8 x + 1}{4}

Popular Examples

g(x)=sqrt(16-x^2)

g (x) = 16 - x^{2}

f(x)= x/(1+x^3)

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

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

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

y = \frac{x}{x ^{2} - 16}

g (x) = x - 4

Frequently Asked Questions (FAQ)

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