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Popular >

range of y=8-x^2

Solution

range

y = 8 - x^{2}

Solution

f (x) \leq 8

+1

Interval Notation

(- \infty, 8]

Solution steps

Vertex of

8 - x^{2} :

Maximum

(0, 8)

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, 8)

f (x) \leq 8

Popular Examples

range of sqrt(4-x^2)range

4 - x^{2}

range of f(x)=3*2^x range

f (x) = 3 \cdot 2^{x}

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

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

symmetry 7x^2+26y=77 symmetry

7 x^{2} + 26 y = 77

f (x) = 5

Frequently Asked Questions (FAQ)

What is the range of y=8-x^2 ?
The range of y=8-x^2 is f(x)<= 8