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Popular >

range of y=4-x^2

Solution

range

y = 4 - x^{2}

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

4 - x^{2} :

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 (x-5)/(3x+2)inverse

\frac{x - 5}{3 x + 2}

range of e^{x-4}range

e^{x - 4}

critical 1/2 x^2+9x+5 critical points

\frac{1}{2} x^{2} + 9 x + 5

range of f(x)= 1/(x+2)-1 range

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

inverse of f(x)=5^{2x-1}inverse

f (x) = 5^{2 x - 1}

Frequently Asked Questions (FAQ)

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