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Popular >

range of f(x)=2x^2+3

Solution

range

f (x) = 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

extreme y=(x+8)/x extreme points

y = \frac{x + 8}{x}

range of 4 range

4

slope ofintercept 6y-3x=-24 slope intercept

6 y - 3 x = - 24

inverse of 1+sqrt(1+x)inverse

1 + 1 + x

slope ofintercept-2y-3x=x+4 slope intercept

- 2 y - 3 x = x + 4

Frequently Asked Questions (FAQ)

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