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Popular >

y=-x^2-x+3

Solution

y = - x^{2} - x + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{13}{4}

X Intercepts : (- \frac{1 + 13}{2}, 0), (\frac{13 - 1}{2}, 0), Y Intercepts : (0, 3)

Vertex : Maximum (- \frac{1}{2}, \frac{13}{4})

Inverse : - \frac{1 + - 4 x + 13}{2}, - \frac{1 - - 4 x + 13}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{13}{4}]

Solution steps

Domain of

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

Range of

- x^{2} - x + 3 : f (x) \leq \frac{13}{4}

Axis interception points of

- x^{2} - x + 3 :

X Intercepts

: (- \frac{1 + 13}{2}, 0), (\frac{13 - 1}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

- x^{2} - x + 3 :

Maximum

(- \frac{1}{2}, \frac{13}{4})

Inverse of

- x^{2} - x + 3 : - \frac{1 + - 4 x + 13}{2}, - \frac{1 - - 4 x + 13}{2}

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y = x^{3} cos (x) - x^{3} sin (x)

y = 3 x^{2} sin (2 x)

y = 2 ∣ x - 2 ∣ + 1

Frequently Asked Questions (FAQ)

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