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Popular >

range of f(x)=-1/2 x^2+9x-3

Solution

range

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

Solution

f (x) \leq \frac{75}{2}

+1

Interval Notation

(- \infty, \frac{75}{2}]

Solution steps

Vertex of

- \frac{1}{2} x^{2} + 9 x - 3 :

Maximum

(9, \frac{75}{2})

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - \frac{1}{2},

Vertex

(x_{v}, y_{v}) = (9, \frac{75}{2})

f (x) \leq \frac{75}{2}

Popular Examples

inverse of F(x)=2+sqrt(x-7)inverse

F (x) = 2 + x - 7

inverse of f(x)=\sqrt[3]{x^5+9}inverse

amplitude of cos(θ/4+pi/4)-2 amplitude

cos (\frac{θ}{4} + \frac{π}{4}) - 2

range of f(x)=x^2+2x+1 range

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

range of r(x)= 1/(x-2)range

r (x) = \frac{1}{x - 2}

Frequently Asked Questions (FAQ)

What is the range of f(x)=-1/2 x^2+9x-3 ?
The range of f(x)=-1/2 x^2+9x-3 is f(x)<= 75/2