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Popular Functions >

f(x)=4.5x-2.25x^2+0.75

Solution

f (x) = 4.5 x - 2.25 x^{2} + 0.75

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (- \frac{- 3 + 2 3}{3}, 0), (\frac{3 + 2 3}{3}, 0), Y Intercepts : (0, 0.75)

Vertex : Maximum (1, 3)

Inverse : - \frac{- 3 + 2 - x + 3}{3}, \frac{2 - x + 3 + 3}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

4.5 x - 2.25 x^{2} + 0.75 : - \infty < x < \infty

Range of

4.5 x - 2.25 x^{2} + 0.75 : f (x) \leq 3

Axis interception points of

4.5 x - 2.25 x^{2} + 0.75 :

X Intercepts

: (- \frac{- 3 + 2 3}{3}, 0), (\frac{3 + 2 3}{3}, 0),

Y Intercepts

: (0, 0.75)

Vertex of

4.5 x - 2.25 x^{2} + 0.75 :

Maximum

(1, 3)

Inverse of

4.5 x - 2.25 x^{2} + 0.75 : - \frac{- 3 + 2 - x + 3}{3}, \frac{2 - x + 3 + 3}{3}

Graph

Popular Examples

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

f(x)=(\sqrt[5]{2x^4})/4

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

Frequently Asked Questions (FAQ)

What is the f(x)=4.5x-2.25x^2+0.75 ?
The f(x)=4.5x-2.25x^2+0.75 is