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Popular >

f(x)=-0.2x^2+2.4x+0.9

Solution

f (x) = - 0.2 x^{2} + 2.4 x + 0.9

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 8.1

X Intercepts : (- \frac{3 ( 3 2 - 4 )}{2}, 0), (\frac{3 ( 4 + 3 2 )}{2}, 0), Y Intercepts : (0, 0.9)

Vertex : Maximum (6, 8.1)

Inverse : - \frac{- 24 + - 80 x + 648}{4}, - \frac{- 24 - - 80 x + 648}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 8.1]

Solution steps

Domain of

- 0.2 x^{2} + 2.4 x + 0.9 : - \infty < x < \infty

Range of

- 0.2 x^{2} + 2.4 x + 0.9 : f (x) \leq 8.1

Axis interception points of

- 0.2 x^{2} + 2.4 x + 0.9 :

X Intercepts

: (- \frac{3 ( 3 2 - 4 )}{2}, 0), (\frac{3 ( 4 + 3 2 )}{2}, 0),

Y Intercepts

: (0, 0.9)

Vertex of

- 0.2 x^{2} + 2.4 x + 0.9 :

Maximum

(6, 8.1)

Inverse of

- 0.2 x^{2} + 2.4 x + 0.9 : - \frac{- 24 + - 80 x + 648}{4}, - \frac{- 24 - - 80 x + 648}{4}

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Frequently Asked Questions (FAQ)

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