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Popular Functions >

y=1+x-x^2

Solution

y = 1 + x - x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{5}{4}

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

Vertex : Maximum (\frac{1}{2}, \frac{5}{4})

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{5}{4}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

1 + x - x^{2} :

X Intercepts

: (- \frac{- 1 + 5}{2}, 0), (\frac{1 + 5}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

1 + x - x^{2} :

Maximum

(\frac{1}{2}, \frac{5}{4})

Inverse of

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

Graph

Popular Examples

f(x)=1+3.32*log_{50}(x)

f(x)=xe^{-2x^2}

f(x)=sqrt((x^3-7x+6)/(x^3-7x-6))

y=arccos(x/(1-x))

Frequently Asked Questions (FAQ)

What is the y=1+x-x^2 ?
The y=1+x-x^2 is