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Popular >

range of 1+x^2

Solution

range

1 + x^{2}

Solution

f (x) \geq 1

+1

Interval Notation

[1, \infty)

Solution steps

Vertex of

1 + x^{2} :

Minimum

(0, 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}) = (0, 1)

f (x) \geq 1

Popular Examples

distance (-4,3),(3,-4)distance

(- 4, 3), (3, - 4)

intercepts of y=sec(x)intercepts

y = sec (x)

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

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

domain of f(x)=x-12 domain

f (x) = x - 12

intercepts of f(x)= 1/2 x-4 intercepts

f (x) = \frac{1}{2} x - 4

Frequently Asked Questions (FAQ)

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