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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Vertex : Minimum (\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 : [- \frac{17}{4}, \infty)

Solution steps

Domain of

x^{2} - 5 x + 2 : - \infty < x < \infty

Range of

x^{2} - 5 x + 2 : f (x) \geq - \frac{17}{4}

Axis interception points of

x^{2} - 5 x + 2 :

X Intercepts

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

Y Intercepts

: (0, 2)

Vertex of

x^{2} - 5 x + 2 :

Minimum

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

Inverse of

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

Popular Examples

asymptotes of f(x)=(5x)/(x^2-4)asymptotes

f (x) = \frac{5 x}{x ^{2} - 4}

slope of-2x+y=1 slope

- 2 x + y = 1

range of-3x^3+5x^2+16x range

- 3 x^{3} + 5 x^{2} + 16 x

domain of (x-9)^2 domain

(x - 9)^{2}

symmetry 2x^2-3x+2 symmetry

2 x^{2} - 3 x + 2

Frequently Asked Questions (FAQ)

What is the f(x)=x^2-5x+2 ?
The f(x)=x^2-5x+2 is