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Popular Functions >

f(x)=4-x^2

Solution

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

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)

Range : (- \infty, 4]

Solution steps

Domain of

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

Range of

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

Axis interception points of

4 - x^{2} :

X Intercepts

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

Y Intercepts

: (0, 4)

Vertex of

4 - x^{2} :

Maximum

(0, 4)

Inverse of

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

Graph

Popular Examples

asymptotes of arctan(x)

asymptotes of f(x)=(10x-20)/(x^2-x-20)

distance (1,3),(4,7)

inverse of 4x-1

line (25000,11),(28000,9)

Frequently Asked Questions (FAQ)

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