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Popular >

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

Solution

f (x) = - 2 x^{2} + 2 x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{7}{2}

X Intercepts : (- \frac{- 1 + 7}{2}, 0), (\frac{1 + 7}{2}, 0), Y Intercepts : (0, 3)

Vertex : Maximum (\frac{1}{2}, \frac{7}{2})

Inverse : - \frac{- 1 + - 2 x + 7}{2}, \frac{- 2 x + 7 + 1}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{7}{2}]

Solution steps

Domain of

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

Range of

- 2 x^{2} + 2 x + 3 : f (x) \leq \frac{7}{2}

Axis interception points of

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

X Intercepts

: (- \frac{- 1 + 7}{2}, 0), (\frac{1 + 7}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

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

Maximum

(\frac{1}{2}, \frac{7}{2})

Inverse of

- 2 x^{2} + 2 x + 3 : - \frac{- 1 + - 2 x + 7}{2}, \frac{- 2 x + 7 + 1}{2}

Popular Examples

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

f(n)=(4^{n-1}+1)/(4^{1-n)+1}

f (n) = \frac{4 ^{n - 1} + 1}{4 ^{1 - n} + 1}

f(x)=2sin^2(x)+sin(x)

f (x) = 2 sin^{2} (x) + sin (x)

f(x)=((x^3-x+42))/((x-7))

f (x) = \frac{( x ^{3} - x + 42 )}{( x - 7 )}

f(x)=(3x-5)/(2x+1)

f (x) = \frac{3 x - 5}{2 x + 1}

Frequently Asked Questions (FAQ)

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