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Popular >

f(x)=-0.5x^2+2.5x+4.5

Solution

f (x) = - 0.5 x^{2} + 2.5 x + 4.5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 7.625

X Intercepts : (- \frac{- 5 + 61}{2}, 0), (\frac{5 + 61}{2}, 0), Y Intercepts : (0, 4.5)

Vertex : Maximum (2.5, 7.625)

Inverse : - \frac{- 5 + - 8 x + 61}{2}, \frac{- 8 x + 61 + 5}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 7.625]

Solution steps

Domain of

- 0.5 x^{2} + 2.5 x + 4.5 : - \infty < x < \infty

Range of

- 0.5 x^{2} + 2.5 x + 4.5 : f (x) \leq 7.625

Axis interception points of

- 0.5 x^{2} + 2.5 x + 4.5 :

X Intercepts

: (- \frac{- 5 + 61}{2}, 0), (\frac{5 + 61}{2}, 0),

Y Intercepts

: (0, 4.5)

Vertex of

- 0.5 x^{2} + 2.5 x + 4.5 :

Maximum

(2.5, 7.625)

Inverse of

- 0.5 x^{2} + 2.5 x + 4.5 : - \frac{- 5 + - 8 x + 61}{2}, \frac{- 8 x + 61 + 5}{2}

Popular Examples

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f (x) = 2 \cdot x^{3}

f (x) = x^{2} + 7 x + 8

Frequently Asked Questions (FAQ)

What is the f(x)=-0.5x^2+2.5x+4.5 ?
The f(x)=-0.5x^2+2.5x+4.5 is