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Popular >

range of x^2-12x+35

Solution

range

x^{2} - 12 x + 35

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

x^{2} - 12 x + 35 :

Minimum

(6, - 1)

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}) = (6, - 1)

f (x) \geq - 1

Popular Examples

m (x) = \frac{11}{3} x - 5

domain of f(t)=5-16t domain

f (t) = 5 - 16 t

extreme f(x)=2x^3+11x extreme points

f (x) = 2 x^{3} + 11 x

domain of x^2(81-x)domain

x^{2} (81 - x)

amplitude of cos(x)-3 amplitude

cos (x) - 3

Frequently Asked Questions (FAQ)

What is the range of x^2-12x+35 ?
The range of x^2-12x+35 is f(x)>=-1