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Popular >

range of 2x^2+3

Solution

range

2 x^{2} + 3

Solution

f (x) \geq 3

+1

Interval Notation

[3, \infty)

Solution steps

Vertex of

2 x^{2} + 3 :

Minimum

(0, 3)

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, 3)

f (x) \geq 3

Popular Examples

intercepts of sin(x)+cos(x)intercepts

sin (x) + cos (x)

parity f(x)=4x^3 parity

f (x) = 4 x^{3}

extreme f(x)=x^4-3x^2+2 extreme points

f (x) = x^{4} - 3 x^{2} + 2

inverse of f(x)=(4x)/(7x-1)inverse

f (x) = \frac{4 x}{7 x - 1}

distance (-3,7),(-8,5)distance

(- 3, 7), (- 8, 5)

Frequently Asked Questions (FAQ)

What is the range of 2x^2+3 ?
The range of 2x^2+3 is f(x)>= 3