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Popular Functions >

f(x)=1-x^2-x

Solution

f (x) = 1 - x^{2} - x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- \frac{1 + 5}{2}, 0), (\frac{5 - 1}{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^{2} - x : - \infty < x < \infty

Range of

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

Axis interception points of

1 - x^{2} - x :

X Intercepts

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

Y Intercepts

: (0, 1)

Vertex of

1 - x^{2} - x :

Maximum

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

Inverse of

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

Graph

Popular Examples

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f(x)=x^{1/2}log_{10}(x)

Frequently Asked Questions (FAQ)

What is the f(x)=1-x^2-x ?
The f(x)=1-x^2-x is