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Popular >

range of f(x)=2x^2-4

Solution

range

f (x) = 2 x^{2} - 4

Solution

f (x) \geq - 4

+1

Interval Notation

[- 4, \infty)

Solution steps

Vertex of

2 x^{2} - 4 :

Minimum

(0, - 4)

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 = 2,

Vertex

(x_{v}, y_{v}) = (0, - 4)

f (x) \geq - 4

Popular Examples

domain of f(x)=-4x-3 domain

f (x) = - 4 x - 3

range of sqrt(x+1)range

x + 1

inverse of f(x)=10-2x^3 inverse

f (x) = 10 - 2 x^{3}

inverse of y=(x-2)^2-4 inverse

y = (x - 2)^{2} - 4

inverse of f(x)= 1/(4x+3)inverse

f (x) = \frac{1}{4 x + 3}

Frequently Asked Questions (FAQ)

What is the range of f(x)=2x^2-4 ?
The range of f(x)=2x^2-4 is f(x)>=-4