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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

extreme f(x)=-2x^2-16x-25 extreme points

f (x) = - 2 x^{2} - 16 x - 25

critical f(x)=x^3-x^2+3 critical points

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

inverse of f(x)=(x+2) 1/5 inverse

f (x) = (x + 2) \frac{1}{5}

simplify (3.3)(3.4)simplify

(3.3) (3.4)

intercepts of f(x)=-3x+y=3 intercepts

f (x) = - 3 x + y = 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