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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{17}{4}

X Intercepts : (\frac{5 - 17}{2}, 0), (\frac{5 + 17}{2}, 0), Y Intercepts : (0, - 2)

Vertex : Maximum (\frac{5}{2}, \frac{17}{4})

Inverse : - \frac{- 5 + - 4 x + 17}{2}, - \frac{- 5 - - 4 x + 17}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{17}{4}]

Solution steps

Domain of

x (3 - x) + (x - 1) 2 : - \infty < x < \infty

Range of

x (3 - x) + (x - 1) 2 : f (x) \leq \frac{17}{4}

Axis interception points of

x (3 - x) + (x - 1) 2 :

X Intercepts

: (\frac{5 - 17}{2}, 0), (\frac{5 + 17}{2}, 0),

Y Intercepts

: (0, - 2)

Vertex of

x (3 - x) + (x - 1) 2 :

Maximum

(\frac{5}{2}, \frac{17}{4})

Inverse of

x (3 - x) + (x - 1) 2 : - \frac{- 5 + - 4 x + 17}{2}, - \frac{- 5 - - 4 x + 17}{2}

Popular Examples

y=-0.05(x-3.5)+0.8

y = - 0.05 (x - 3.5) + 0.8

f(x)=(3x+1)/(2x-8)

f (x) = \frac{3 x + 1}{2 x - 8}

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

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

y = 4 (x + 2) (x - 1)

f(x)=18x^2-153x+320

f (x) = 18 x^{2} - 153 x + 320

Frequently Asked Questions (FAQ)

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