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Popular >

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

Solution

f (- 2) = 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

f(x)=cos^2(x^3)

f (x) = cos^{2} (x^{3})

y = 2 x^{2} - 8 x + 13

f(x)=-x^2+10x-6

f (x) = - x^{2} + 10 x - 6

y = 2 x^{2} - 8 x - 10

f(x)=cos^2(sin(x))

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

Frequently Asked Questions (FAQ)

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