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Popular >

f(x)=4+1/3 x-1/2 x^2

Solution

f (x) = 4 + \frac{1}{3} x - \frac{1}{2} x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{73}{18}

X Intercepts : (- \frac{- 1 + 73}{3}, 0), (\frac{1 + 73}{3}, 0), Y Intercepts : (0, 4)

Vertex : Maximum (\frac{1}{3}, \frac{73}{18})

Inverse : - \frac{- 1 + - 18 x + 73}{3}, \frac{- 18 x + 73 + 1}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{73}{18}]

Solution steps

Domain of

4 + \frac{1}{3} x - \frac{1}{2} x^{2} : - \infty < x < \infty

Range of

4 + \frac{1}{3} x - \frac{1}{2} x^{2} : f (x) \leq \frac{73}{18}

Axis interception points of

4 + \frac{1}{3} x - \frac{1}{2} x^{2} :

X Intercepts

: (- \frac{- 1 + 73}{3}, 0), (\frac{1 + 73}{3}, 0),

Y Intercepts

: (0, 4)

Vertex of

4 + \frac{1}{3} x - \frac{1}{2} x^{2} :

Maximum

(\frac{1}{3}, \frac{73}{18})

Inverse of

4 + \frac{1}{3} x - \frac{1}{2} x^{2} : - \frac{- 1 + - 18 x + 73}{3}, \frac{- 18 x + 73 + 1}{3}

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Frequently Asked Questions (FAQ)

What is the f(x)=4+1/3 x-1/2 x^2 ?
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