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Popular >

g(x)=-x^2+3x+4

Solution

g (x) = - x^{2} + 3 x + 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{25}{4}

X Intercepts : (- 1, 0), (4, 0), Y Intercepts : (0, 4)

Vertex : Maximum (\frac{3}{2}, \frac{25}{4})

Inverse : - \frac{- 3 + - 4 x + 25}{2}, - \frac{- 3 - - 4 x + 25}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{25}{4}]

Solution steps

Domain of

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

Range of

- x^{2} + 3 x + 4 : f (x) \leq \frac{25}{4}

Axis interception points of

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

X Intercepts

: (- 1, 0), (4, 0),

Y Intercepts

: (0, 4)

Vertex of

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

Maximum

(\frac{3}{2}, \frac{25}{4})

Inverse of

- x^{2} + 3 x + 4 : - \frac{- 3 + - 4 x + 25}{2}, - \frac{- 3 - - 4 x + 25}{2}

Popular Examples

f(x)=log_{10}(2)

f (x) = lo g_{10} (2)

f(x)=log_{1/2}(x+3)+2

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

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

g (x) = 2 x^{2} + 32

f (x) = - 7 x + 2

Frequently Asked Questions (FAQ)

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