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Popular >

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

Solution

range

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

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- x^{2} + 4 :

Maximum

(0, 4)

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, 4)

f (x) \leq 4

Popular Examples

inverse of f(x)=ln(x-3)+7 inverse

f (x) = ln (x - 3) + 7

inverse of f(x)=-(0.009(x-220)^2-220)inverse

f (x) = - (0.009 (x - 220)^{2} - 220)

midpoint (4,-1),(-1,-4)midpoint

(4, - 1), (- 1, - 4)

range of f(x)= 2/(x^2)range

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

asymptotes of f(x)=(x^2)/((x-1)^2)asymptotes

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

Frequently Asked Questions (FAQ)

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