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Popular Functions >

f(z)=z^2+2z+2

Solution

f (z) = z^{2} + 2 z + 2

Solution

Domain : - \infty < z < \infty

Range : f (z) \geq 1

Y Intercepts : (0, 2)

Vertex : Minimum (- 1, 1)

Inverse : - 1 + z - 1, - z - 1 - 1

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, \infty)

Solution steps

Domain of

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

Range of

z^{2} + 2 z + 2 : f (z) \geq 1

Axis interception points of

z^{2} + 2 z + 2 :

Y Intercepts

: (0, 2)

Vertex of

z^{2} + 2 z + 2 :

Minimum

(- 1, 1)

Inverse of

z^{2} + 2 z + 2 : - 1 + z - 1, - z - 1 - 1

Graph

Popular Examples

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

f(x)=(x+5)/(3x-14)

f(x)=cos(2x)cos(3x)+sin(2x)sin(3x)

Frequently Asked Questions (FAQ)

What is the f(z)=z^2+2z+2 ?
The f(z)=z^2+2z+2 is