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Popular Functions >

y=4x^2-13x+3

Solution

y = 4 x^{2} - 13 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{121}{16}

X Intercepts : (3, 0), (\frac{1}{4}, 0), Y Intercepts : (0, 3)

Vertex : Minimum (\frac{13}{8}, - \frac{121}{16})

Inverse : \frac{13 + 16 x + 121}{8}, \frac{13 - 16 x + 121}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{121}{16}, \infty)

Solution steps

Domain of

4 x^{2} - 13 x + 3 : - \infty < x < \infty

Range of

4 x^{2} - 13 x + 3 : f (x) \geq - \frac{121}{16}

Axis interception points of

4 x^{2} - 13 x + 3 :

X Intercepts

: (3, 0), (\frac{1}{4}, 0),

Y Intercepts

: (0, 3)

Vertex of

4 x^{2} - 13 x + 3 :

Minimum

(\frac{13}{8}, - \frac{121}{16})

Inverse of

4 x^{2} - 13 x + 3 : \frac{13 + 16 x + 121}{8}, \frac{13 - 16 x + 121}{8}

Graph

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f(x)=(x-1)^2(x-3)

Frequently Asked Questions (FAQ)

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