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Popular >

f(x)=-x^2*1/2+3.75x-3

Solution

f (x) = - x^{2} \cdot \frac{1}{2} + 3.75 x - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{8.0625}{2}

X Intercepts : (\frac{15 - 129}{4}, 0), (\frac{15 + 129}{4}, 0), Y Intercepts : (0, - 3)

Vertex : Maximum (3.75, 4.03125)

Inverse : - \frac{- 15 + - 32 x + 129}{4}, \frac{- 32 x + 129 + 15}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{8.0625}{2}]

Solution steps

Domain of

- x^{2} \cdot \frac{1}{2} + 3.75 x - 3 : - \infty < x < \infty

Range of

- x^{2} \cdot \frac{1}{2} + 3.75 x - 3 : f (x) \leq \frac{8.0625}{2}

Axis interception points of

- x^{2} \cdot \frac{1}{2} + 3.75 x - 3 :

X Intercepts

: (\frac{15 - 129}{4}, 0), (\frac{15 + 129}{4}, 0),

Y Intercepts

: (0, - 3)

Vertex of

- x^{2} \cdot \frac{1}{2} + 3.75 x - 3 :

Maximum

(3.75, 4.03125)

Inverse of

- x^{2} \cdot \frac{1}{2} + 3.75 x - 3 : - \frac{- 15 + - 32 x + 129}{4}, \frac{- 32 x + 129 + 15}{4}

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Frequently Asked Questions (FAQ)

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