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Popular Functions >

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

Graph

Popular Examples

inflection (0.2)^{2/3}(1.2)

in f l ec t i o n (0.2)^{\frac{2}{3}} (1.2)

extreme (x^2-4x)/(x^2-4x-12)

e x t re m e \frac{x ^{2} - 4 x}{x ^{2} - 4 x - 12}

inflection f(x)= x/(x+8)

in f l ec t i o n f (x) = \frac{x}{x + 8}

asymptotes of f(x)=(2x-1)/(3x^2)

a sy m pt o t es f (x) = \frac{2 x - 1}{3 x ^{2}}

line (3,-3),(-3,5)

l in e (3, - 3), (- 3, 5)

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