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Popular >

f(x)=-4x^2+4x+5

Solution

f (x) = - 4 x^{2} + 4 x + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 6

X Intercepts : (- \frac{- 1 + 6}{2}, 0), (\frac{1 + 6}{2}, 0), Y Intercepts : (0, 5)

Vertex : Maximum (\frac{1}{2}, 6)

Inverse : - \frac{- 1 + - x + 6}{2}, \frac{- x + 6 + 1}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 6]

Solution steps

Domain of

- 4 x^{2} + 4 x + 5 : - \infty < x < \infty

Range of

- 4 x^{2} + 4 x + 5 : f (x) \leq 6

Axis interception points of

- 4 x^{2} + 4 x + 5 :

X Intercepts

: (- \frac{- 1 + 6}{2}, 0), (\frac{1 + 6}{2}, 0),

Y Intercepts

: (0, 5)

Vertex of

- 4 x^{2} + 4 x + 5 :

Maximum

(\frac{1}{2}, 6)

Inverse of

- 4 x^{2} + 4 x + 5 : - \frac{- 1 + - x + 6}{2}, \frac{- x + 6 + 1}{2}

Popular Examples

f(x)=log_{10}(36-x^2)

f (x) = lo g_{10} (36 - x^{2})

y=cos(log_{10}(4x))

y = cos (lo g_{10} (4 x))

f(t)=((sqrt(t)+1)/((sqrt(t))))^3

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

f(x)=4.9x^2-9.8x-39.2

f (x) = 4.9 x^{2} - 9.8 x - 39.2

f (x) = \frac{8 - x}{4}

Frequently Asked Questions (FAQ)

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