en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=4x^2+5

Solution

range

f (x) = 4 x^{2} + 5

Solution

f (x) \geq 5

+1

Interval Notation

[5, \infty)

Solution steps

Vertex of

4 x^{2} + 5 :

Minimum

(0, 5)

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 = 4,

Vertex

(x_{v}, y_{v}) = (0, 5)

f (x) \geq 5

Popular Examples

inverse of f(x)=(x+1)^3+1 inverse

f (x) = (x + 1)^{3} + 1

inverse of sqrt(x+1)-3 inverse

x + 1 - 3

slope of 6x+5y=-15 slope

6 x + 5 y = - 15

parallel \at (3-5),y=4 parallel

at (3 - 5), y = 4

parity (|x|)/x parity

\frac{∣ x ∣}{x}

Frequently Asked Questions (FAQ)

What is the range of f(x)=4x^2+5 ?
The range of f(x)=4x^2+5 is f(x)>= 5