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Popular >

y=-16x^2+225x+79

Solution

y = - 16 x^{2} + 225 x + 79

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{55681}{64}

X Intercepts : (- \frac{- 225 + 55681}{32}, 0), (\frac{225 + 55681}{32}, 0), Y Intercepts : (0, 79)

Vertex : Maximum (\frac{225}{32}, \frac{55681}{64})

Inverse : - \frac{- 225 + - 64 x + 55681}{32}, - \frac{- 225 - - 64 x + 55681}{32}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{55681}{64}]

Solution steps

Domain of

- 16 x^{2} + 225 x + 79 : - \infty < x < \infty

Range of

- 16 x^{2} + 225 x + 79 : f (x) \leq \frac{55681}{64}

Axis interception points of

- 16 x^{2} + 225 x + 79 :

X Intercepts

: (- \frac{- 225 + 55681}{32}, 0), (\frac{225 + 55681}{32}, 0),

Y Intercepts

: (0, 79)

Vertex of

- 16 x^{2} + 225 x + 79 :

Maximum

(\frac{225}{32}, \frac{55681}{64})

Inverse of

- 16 x^{2} + 225 x + 79 : - \frac{- 225 + - 64 x + 55681}{32}, - \frac{- 225 - - 64 x + 55681}{32}

Popular Examples

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f(x)=e^x(x+xsqrt(x))

f (x) = e^{x} (x + x x)

f(x)=(3x+12)/(-x^2+16)

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f (x) = \frac{- 9 x + 4}{5 x ^{2} - 8}

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