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Popular Functions >

f(x)=4x^2-24x+1

Solution

f (x) = 4 x^{2} - 24 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 35

X Intercepts : (\frac{6 + 35}{2}, 0), (\frac{6 - 35}{2}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (3, - 35)

Inverse : \frac{6 + x + 35}{2}, \frac{6 - x + 35}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 35, \infty)

Solution steps

Domain of

4 x^{2} - 24 x + 1 : - \infty < x < \infty

Range of

4 x^{2} - 24 x + 1 : f (x) \geq - 35

Axis interception points of

4 x^{2} - 24 x + 1 :

X Intercepts

: (\frac{6 + 35}{2}, 0), (\frac{6 - 35}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

4 x^{2} - 24 x + 1 :

Minimum

(3, - 35)

Inverse of

4 x^{2} - 24 x + 1 : \frac{6 + x + 35}{2}, \frac{6 - x + 35}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=4x^2-24x+1 ?
The f(x)=4x^2-24x+1 is