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Popular >

f(x)=-x^2+7x-2

Solution

f (x) = - x^{2} + 7 x - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{41}{4}

X Intercepts : (\frac{7 - 41}{2}, 0), (\frac{7 + 41}{2}, 0), Y Intercepts : (0, - 2)

Vertex : Maximum (\frac{7}{2}, \frac{41}{4})

Inverse : - \frac{- 7 + - 4 x + 41}{2}, - \frac{- 7 - - 4 x + 41}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{41}{4}]

Solution steps

Domain of

- x^{2} + 7 x - 2 : - \infty < x < \infty

Range of

- x^{2} + 7 x - 2 : f (x) \leq \frac{41}{4}

Axis interception points of

- x^{2} + 7 x - 2 :

X Intercepts

: (\frac{7 - 41}{2}, 0), (\frac{7 + 41}{2}, 0),

Y Intercepts

: (0, - 2)

Vertex of

- x^{2} + 7 x - 2 :

Maximum

(\frac{7}{2}, \frac{41}{4})

Inverse of

- x^{2} + 7 x - 2 : - \frac{- 7 + - 4 x + 41}{2}, - \frac{- 7 - - 4 x + 41}{2}

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Frequently Asked Questions (FAQ)

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