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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{17}{4}

X Intercepts : (\frac{- 3 + 17}{2}, 0), (\frac{- 3 - 17}{2}, 0), Y Intercepts : (0, - 2)

Vertex : Minimum (- \frac{3}{2}, - \frac{17}{4})

Inverse : \frac{- 3 + 4 x + 17}{2}, \frac{- 3 - 4 x + 17}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{17}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} + 3 x - 2 : f (x) \geq - \frac{17}{4}

Axis interception points of

x^{2} + 3 x - 2 :

X Intercepts

: (\frac{- 3 + 17}{2}, 0), (\frac{- 3 - 17}{2}, 0),

Y Intercepts

: (0, - 2)

Vertex of

x^{2} + 3 x - 2 :

Minimum

(- \frac{3}{2}, - \frac{17}{4})

Inverse of

x^{2} + 3 x - 2 : \frac{- 3 + 4 x + 17}{2}, \frac{- 3 - 4 x + 17}{2}

Popular Examples

slope of 4y=3x+2 slope

4 y = 3 x + 2

extreme f(x)=x^3+8x^2+16x+3 extreme points

f (x) = x^{3} + 8 x^{2} + 16 x + 3

line m=-4,(2,7)line

m = - 4, (2, 7)

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

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

inverse of f(x)=x^5-4 inverse

f (x) = x^{5} - 4

Frequently Asked Questions (FAQ)

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