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Popular >

f(x)=-1/2 x^2-x+3/2

Solution

f (x) = - \frac{1}{2} x^{2} - x + \frac{3}{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 2

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

Vertex : Maximum (- 1, 2)

Inverse : - \frac{2 + - 8 x + 16}{2}, - \frac{2 - - 8 x + 16}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 2]

Solution steps

Domain of

- \frac{1}{2} x^{2} - x + \frac{3}{2} : - \infty < x < \infty

Range of

- \frac{1}{2} x^{2} - x + \frac{3}{2} : f (x) \leq 2

Axis interception points of

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

X Intercepts

: (- 3, 0), (1, 0),

Y Intercepts

: (0, \frac{3}{2})

Vertex of

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

Maximum

(- 1, 2)

Inverse of

- \frac{1}{2} x^{2} - x + \frac{3}{2} : - \frac{2 + - 8 x + 16}{2}, - \frac{2 - - 8 x + 16}{2}

Popular Examples

f(x)=(x-1)^3+3(x-1)^2-9x+4

f (x) = (x - 1)^{3} + 3 (x - 1)^{2} - 9 x + 4

f(x)=-x^2-8x-21

f (x) = - x^{2} - 8 x - 21

f(x)=-x^2-8x-15

f (x) = - x^{2} - 8 x - 15

h (x) = 3 x + 1

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

Frequently Asked Questions (FAQ)

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