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Popular >

f(x)= 1/4 x-1/25 x^2

Solution

f (x) = \frac{1}{4} x - \frac{1}{25} x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{25}{64}

X Intercepts : (0, 0), (\frac{25}{4}, 0), Y Intercepts : (0, 0)

Vertex : Maximum (\frac{25}{8}, \frac{25}{64})

Inverse : - \frac{- 25 + 5 25 - 64 x}{8}, - \frac{- 25 - 5 25 - 64 x}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{25}{64}]

Solution steps

Domain of

\frac{1}{4} x - \frac{1}{25} x^{2} : - \infty < x < \infty

Range of

\frac{1}{4} x - \frac{1}{25} x^{2} : f (x) \leq \frac{25}{64}

Axis interception points of

\frac{1}{4} x - \frac{1}{25} x^{2} :

X Intercepts

: (0, 0), (\frac{25}{4}, 0),

Y Intercepts

: (0, 0)

Vertex of

\frac{1}{4} x - \frac{1}{25} x^{2} :

Maximum

(\frac{25}{8}, \frac{25}{64})

Inverse of

\frac{1}{4} x - \frac{1}{25} x^{2} : - \frac{- 25 + 5 25 - 64 x}{8}, - \frac{- 25 - 5 25 - 64 x}{8}

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Frequently Asked Questions (FAQ)

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