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Popular >

f(x)=(-x^2+3x+9)/4

Solution

f (x) = \frac{- x ^{2} + 3 x + 9}{4}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{45}{16}

X Intercepts : (- \frac{- 3 + 3 5}{2}, 0), (\frac{3 + 3 5}{2}, 0), Y Intercepts : (0, \frac{9}{4})

Vertex : Maximum (\frac{3}{2}, \frac{45}{16})

Inverse : - \frac{- 3 + - 16 x + 45}{2}, - \frac{- 3 - - 16 x + 45}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{45}{16}]

Solution steps

Domain of

\frac{- x ^{2} + 3 x + 9}{4} : - \infty < x < \infty

Range of

\frac{- x ^{2} + 3 x + 9}{4} : f (x) \leq \frac{45}{16}

Axis interception points of

\frac{- x ^{2} + 3 x + 9}{4} :

X Intercepts

: (- \frac{- 3 + 3 5}{2}, 0), (\frac{3 + 3 5}{2}, 0),

Y Intercepts

: (0, \frac{9}{4})

Vertex of

\frac{- x ^{2} + 3 x + 9}{4} :

Maximum

(\frac{3}{2}, \frac{45}{16})

Inverse of

\frac{- x ^{2} + 3 x + 9}{4} : - \frac{- 3 + - 16 x + 45}{2}, - \frac{- 3 - - 16 x + 45}{2}

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Frequently Asked Questions (FAQ)

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