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Popular Functions >

y=-4x^2+3x+1

Solution

y = - 4 x^{2} + 3 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{25}{16}

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

Vertex : Maximum (\frac{3}{8}, \frac{25}{16})

Inverse : - \frac{- 3 + - 16 x + 25}{8}, - \frac{- 3 - - 16 x + 25}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{25}{16}]

Solution steps

Domain of

- 4 x^{2} + 3 x + 1 : - \infty < x < \infty

Range of

- 4 x^{2} + 3 x + 1 : f (x) \leq \frac{25}{16}

Axis interception points of

- 4 x^{2} + 3 x + 1 :

X Intercepts

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

Y Intercepts

: (0, 1)

Vertex of

- 4 x^{2} + 3 x + 1 :

Maximum

(\frac{3}{8}, \frac{25}{16})

Inverse of

- 4 x^{2} + 3 x + 1 : - \frac{- 3 + - 16 x + 25}{8}, - \frac{- 3 - - 16 x + 25}{8}

Graph

Popular Examples

f(x)=(ln(x^2-1))/(x^2-1)

f(x)=(5x^2+3x-2)/(x^3-4)

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

f(x)=(2x-6)/(x-4)+1

y=-(x-1)^3(x+3)^2

Frequently Asked Questions (FAQ)

What is the y=-4x^2+3x+1 ?
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