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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{3}{2}

Y Intercepts : (0, 2)

Vertex : Minimum (\frac{1}{2}, \frac{3}{2})

Inverse : \frac{1 + 2 x - 3}{2}, \frac{1 - 2 x - 3}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{3}{2}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

2 x^{2} - 2 x + 2 :

Y Intercepts

: (0, 2)

Vertex of

2 x^{2} - 2 x + 2 :

Minimum

(\frac{1}{2}, \frac{3}{2})

Inverse of

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

Popular Examples

f (1) = 2 x - 1

domain of g(e)=ln(x-1)+e^{x^2-3}+(x^2-4)^{5/3}domain

g (e) = ln (x - 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

intercepts of 12-2x,x>2 intercepts

12 - 2 x, x > 2

f (x) = 5 x^{2} + x - 3

p (x) = x^{2} - 9

Frequently Asked Questions (FAQ)

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