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Popular >

range of x^2+9

Solution

range

x^{2} + 9

Solution

f (x) \geq 9

+1

Interval Notation

[9, \infty)

Solution steps

Vertex of

x^{2} + 9 :

Minimum

(0, 9)

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, 9)

f (x) \geq 9

Popular Examples

extreme f(x)=5*sin(x-(5pi)/6)extreme points

f (x) = 5 \cdot sin (x - \frac{5 π}{6})

symmetry-x^2-2x+1 symmetry

- x^{2} - 2 x + 1

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

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

inverse of 5/(x+2)inverse

\frac{5}{x + 2}

range of f(x)=3^x+1 range

f (x) = 3^{x} + 1

Frequently Asked Questions (FAQ)

What is the range of x^2+9 ?
The range of x^2+9 is f(x)>= 9