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Popular >

y=-2x^2+4x+3

Solution

y = - 2 x^{2} + 4 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (- \frac{- 2 + 10}{2}, 0), (\frac{2 + 10}{2}, 0), Y Intercepts : (0, 3)

Vertex : Maximum (1, 5)

Inverse : - \frac{- 4 + - 8 x + 40}{4}, - \frac{- 4 - - 8 x + 40}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

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

Range of

- 2 x^{2} + 4 x + 3 : f (x) \leq 5

Axis interception points of

- 2 x^{2} + 4 x + 3 :

X Intercepts

: (- \frac{- 2 + 10}{2}, 0), (\frac{2 + 10}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

- 2 x^{2} + 4 x + 3 :

Maximum

(1, 5)

Inverse of

- 2 x^{2} + 4 x + 3 : - \frac{- 4 + - 8 x + 40}{4}, - \frac{- 4 - - 8 x + 40}{4}

Popular Examples

f (x) = \frac{5}{x - 4}

y = x^{2} - 5 x + 3

f(θ)=(sin(θ))/(1+cos(θ))

f (θ) = \frac{sin ( θ )}{1 + cos ( θ )}

f (x) = x^{2} + 8 x + 13

f (x) = x^{2} + 8 x + 11

Frequently Asked Questions (FAQ)

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