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Popular >

range of f(x)=x^2+49

Solution

range

f (x) = x^{2} + 49

Solution

f (x) \geq 49

+1

Interval Notation

[49, \infty)

Solution steps

Vertex of

x^{2} + 49 :

Minimum

(0, 49)

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, 49)

f (x) \geq 49

Popular Examples

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f (x) = \frac{e ^{x} + e ^{- x}}{3}

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y = - 3 x + 6

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y = \frac{2 x + 1}{x - 1}

slope of 7x-5y=20 slope

7 x - 5 y = 20

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2+49 ?
The range of f(x)=x^2+49 is f(x)>= 49