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Popular >

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

Solution

f (x) = 2 x^{2} - 3 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{8}

X Intercepts : (1, 0), (\frac{1}{2}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (\frac{3}{4}, - \frac{1}{8})

Inverse : \frac{3 + 8 x + 1}{4}, \frac{3 - 8 x + 1}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{8}, \infty)

Solution steps

Domain of

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

Range of

2 x^{2} - 3 x + 1 : f (x) \geq - \frac{1}{8}

Axis interception points of

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

X Intercepts

: (1, 0), (\frac{1}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

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

Minimum

(\frac{3}{4}, - \frac{1}{8})

Inverse of

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

Popular Examples

critical-x^2+8x-9 critical points

- x^{2} + 8 x - 9

perpendicular x+2y=16 perpendicular

x + 2 y = 16

monotone f(x)=2x+(50)/x monotone intervals

f (x) = 2 x + \frac{50}{x}

slope of f(x)=x+2 slope

f (x) = x + 2

critical f(x)=(x^2)/(x^2+4)critical points

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

Frequently Asked Questions (FAQ)

What is the f(x)=2x^2-3x+1 ?
The f(x)=2x^2-3x+1 is