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Popular >

y=x^2-5x+3

Solution

y = x^{2} - 5 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{13}{4}

X Intercepts : (\frac{5 + 13}{2}, 0), (\frac{5 - 13}{2}, 0), Y Intercepts : (0, 3)

Vertex : Minimum (\frac{5}{2}, - \frac{13}{4})

Inverse : \frac{5 + 4 x + 13}{2}, \frac{5 - 4 x + 13}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{13}{4}, \infty)

Solution steps

Domain of

x^{2} - 5 x + 3 : - \infty < x < \infty

Range of

x^{2} - 5 x + 3 : f (x) \geq - \frac{13}{4}

Axis interception points of

x^{2} - 5 x + 3 :

X Intercepts

: (\frac{5 + 13}{2}, 0), (\frac{5 - 13}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

x^{2} - 5 x + 3 :

Minimum

(\frac{5}{2}, - \frac{13}{4})

Inverse of

x^{2} - 5 x + 3 : \frac{5 + 4 x + 13}{2}, \frac{5 - 4 x + 13}{2}

Popular Examples

f(θ)=(sin(θ))/(1+cos(θ))

f (θ) = \frac{sin ( θ )}{1 + cos ( θ )}

f (x) = x^{2} + 8 x + 13

f (x) = x^{2} + 8 x + 11

f (x) = x - 5

f(x)=\sqrt[3]{x}+2

Frequently Asked Questions (FAQ)

What is the y=x^2-5x+3 ?
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