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Popular >

range of-5x^2-40x-75

Solution

range

- 5 x^{2} - 40 x - 75

Solution

f (x) \leq 5

+1

Interval Notation

(- \infty, 5]

Solution steps

Vertex of

- 5 x^{2} - 40 x - 75 :

Maximum

(- 4, 5)

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 = - 5,

Vertex

(x_{v}, y_{v}) = (- 4, 5)

f (x) \leq 5

Popular Examples

domain of f(x)=sqrt((x-2)/(x-4)+3)domain

f (x) = \frac{x - 2}{x - 4} + 3

extreme f(x)=x^6e^x-7 extreme points

f (x) = x^{6} e^{x} - 7

inverse of f(x)=log_{2}((e^x-6)/4)inverse

f (x) = lo g_{2} (\frac{e ^{x} - 6}{4})

midpoint (-2,-8),(2,-3)midpoint

(- 2, - 8), (2, - 3)

domain of f(x)=(x+2)/(x^2-2x+1)domain

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

Frequently Asked Questions (FAQ)

What is the range of-5x^2-40x-75 ?
The range of-5x^2-40x-75 is f(x)<= 5