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Popular Functions >

f(x)=5x^2+56x+45

Solution

f (x) = 5 x^{2} + 56 x + 45

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{559}{5}

X Intercepts : (\frac{- 28 + 559}{5}, 0), (- \frac{28 + 559}{5}, 0), Y Intercepts : (0, 45)

Vertex : Minimum (- \frac{28}{5}, - \frac{559}{5})

Inverse : \frac{- 28 + 5 x + 559}{5}, - \frac{5 x + 559 + 28}{5}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{559}{5}, \infty)

Solution steps

Domain of

5 x^{2} + 56 x + 45 : - \infty < x < \infty

Range of

5 x^{2} + 56 x + 45 : f (x) \geq - \frac{559}{5}

Axis interception points of

5 x^{2} + 56 x + 45 :

X Intercepts

: (\frac{- 28 + 559}{5}, 0), (- \frac{28 + 559}{5}, 0),

Y Intercepts

: (0, 45)

Vertex of

5 x^{2} + 56 x + 45 :

Minimum

(- \frac{28}{5}, - \frac{559}{5})

Inverse of

5 x^{2} + 56 x + 45 : \frac{- 28 + 5 x + 559}{5}, - \frac{5 x + 559 + 28}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=5x^2+56x+45 ?
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