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Popular >

range of f(x)=x^2+7

Solution

range

f (x) = x^{2} + 7

Solution

f (x) \geq 7

+1

Interval Notation

[7, \infty)

Solution steps

Vertex of

x^{2} + 7 :

Minimum

(0, 7)

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 = 1,

Vertex

(x_{v}, y_{v}) = (0, 7)

f (x) \geq 7

Popular Examples

domain of f(x)=sqrt((x+3)/(2x-1))domain

f (x) = \frac{x + 3}{2 x - 1}

extreme f(x)=x^2+7x+5 extreme points

f (x) = x^{2} + 7 x + 5

intercepts of (2x^2-5x-12)/(x^2-16)intercepts

\frac{2 x ^{2} - 5 x - 12}{x ^{2} - 16}

intercepts of f(x)=2x+3y=-24 intercepts

f (x) = 2 x + 3 y = - 24

domain of f(x)=\sqrt[3]{3x+2}domain

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2+7 ?
The range of f(x)=x^2+7 is f(x)>= 7