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Popular >

f(x)=-2x+1+2x^2

Solution

f (x) = - 2 x + 1 + 2 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{1}{2}

Y Intercepts : (0, 1)

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

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{1}{2}, \infty)

Solution steps

Domain of

- 2 x + 1 + 2 x^{2} : - \infty < x < \infty

Range of

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

Axis interception points of

- 2 x + 1 + 2 x^{2} :

Y Intercepts

: (0, 1)

Vertex of

- 2 x + 1 + 2 x^{2} :

Minimum

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

Inverse of

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

Popular Examples

f(x)=-3x^3+20x^2-60x+500

f (x) = - 3 x^{3} + 20 x^{2} - 60 x + 500

g(x)=(x-2)/(x^2+4x+4)

g (x) = \frac{x - 2}{x ^{2} + 4 x + 4}

f (x) = 9 cos^{2} (x)

f(x)= 3/(-4x-2)

f (x) = \frac{3}{- 4 x - 2}

f(x)=(sqrt(x)-sqrt(10))/(18)

f (x) = \frac{x - 10}{18}

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