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Popular >

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

Solution

range

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

Solution

f (x) \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

Vertex of

x^{2} + 2 :

Minimum

(0, 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 = 1,

Vertex

(x_{v}, y_{v}) = (0, 2)

f (x) \geq 2

Popular Examples

intercepts of ((1))/(x-5)intercepts

\frac{( 1 )}{x - 5}

slope ofintercept x+2y=8 slope intercept

x + 2 y = 8

domain of f(x)=15-3x domain

f (x) = 15 - 3 x

range of y=x+4 range

y = x + 4

parity f(x)=-4x^5+5x^3 parity

f (x) = - 4 x^{5} + 5 x^{3}

Frequently Asked Questions (FAQ)

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