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Popular >

f(x)=4x^2-4x

Solution

f (x) = 4 x^{2} - 4 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (1, 0), (0, 0), Y Intercepts : (0, 0)

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

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

4 x^{2} - 4 x : - \infty < x < \infty

Range of

4 x^{2} - 4 x : f (x) \geq - 1

Axis interception points of

4 x^{2} - 4 x :

X Intercepts

: (1, 0), (0, 0),

Y Intercepts

: (0, 0)

Vertex of

4 x^{2} - 4 x :

Minimum

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

Inverse of

4 x^{2} - 4 x : \frac{1 + x + 1}{2}, \frac{1 - x + 1}{2}

Popular Examples

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

f(x)=log_{10}(x+7)

f (x) = lo g_{10} (x + 7)

y=arcsin(x)-sqrt(1-x^2)

y = arcsin (x) - 1 - x^{2}

f(x)=log_{1/7}(x)

f (x) = lo g_{\frac{1}{7}} (x)

y = sin (π x)

Frequently Asked Questions (FAQ)

What is the f(x)=4x^2-4x ?
The f(x)=4x^2-4x is