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Popular >

range of x^2-2x-18

Solution

range

x^{2} - 2 x - 18

Solution

f (x) \geq - 19

+1

Interval Notation

[- 19, \infty)

Solution steps

Vertex of

x^{2} - 2 x - 18 :

Minimum

(1, - 19)

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 = 1,

Vertex

(x_{v}, y_{v}) = (1, - 19)

f (x) \geq - 19

Popular Examples

perpendicular 3x-4y=6 perpendicular

3 x - 4 y = 6

inverse of f(x)=ln(8t),t>0 inverse

f (x) = ln (8 t), t > 0

inverse of y=7-x^3 inverse

y = 7 - x^{3}

inverse of f(x)=x^2+2x+4 inverse

f (x) = x^{2} + 2 x + 4

intercepts of f(x)=3x^2+3y^2+30y=0 intercepts

f (x) = 3 x^{2} + 3 y^{2} + 30 y = 0

Frequently Asked Questions (FAQ)

What is the range of x^2-2x-18 ?
The range of x^2-2x-18 is f(x)>=-19