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Popular Functions >

f(x)=-x^2+4

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 4

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, 4)

Vertex : Maximum (0, 4)

Inverse : - x + 4, - - x + 4

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

- x^{2} + 4 : - \infty < x < \infty

Range of

- x^{2} + 4 : f (x) \leq 4

Axis interception points of

- x^{2} + 4 :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, 4)

Vertex of

- x^{2} + 4 :

Maximum

(0, 4)

Inverse of

- x^{2} + 4 : - x + 4, - - x + 4

Graph

Popular Examples

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

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

domain of f(x)=(x+6)/(x^2-12x+36)domain

f (x) = \frac{x + 6}{x ^{2} - 12 x + 36}

asymptotes of f(x)= 2/(x^2-5x+6)asymptotes

f (x) = \frac{2}{x ^{2} - 5 x + 6}

slope ofintercept 14x+19y=-5 slope intercept

14 x + 19 y = - 5

extreme f(x)=2x^3+4x^2-8x-11 extreme points

f (x) = 2 x^{3} + 4 x^{2} - 8 x - 11

Frequently Asked Questions (FAQ)

What is the f(x)=-x^2+4 ?
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