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Popular >

f(x)=-x^2+x+12

Solution

f (x) = - x^{2} + x + 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{49}{4}

X Intercepts : (- 3, 0), (4, 0), Y Intercepts : (0, 12)

Vertex : Maximum (\frac{1}{2}, \frac{49}{4})

Inverse : - \frac{- 1 + - 4 x + 49}{2}, - \frac{- 1 - - 4 x + 49}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{49}{4}]

Solution steps

Domain of

- x^{2} + x + 12 : - \infty < x < \infty

Range of

- x^{2} + x + 12 : f (x) \leq \frac{49}{4}

Axis interception points of

- x^{2} + x + 12 :

X Intercepts

: (- 3, 0), (4, 0),

Y Intercepts

: (0, 12)

Vertex of

- x^{2} + x + 12 :

Maximum

(\frac{1}{2}, \frac{49}{4})

Inverse of

- x^{2} + x + 12 : - \frac{- 1 + - 4 x + 49}{2}, - \frac{- 1 - - 4 x + 49}{2}

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