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Popular >

range of 5-x^2

Solution

range

5 - x^{2}

Solution

f (x) \leq 5

+1

Interval Notation

(- \infty, 5]

Solution steps

Vertex of

5 - x^{2} :

Maximum

(0, 5)

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, 5)

f (x) \leq 5

Popular Examples

domain of log_{7}(x-7)domain

lo g_{7} (x - 7)

range of f(x)=1 range

f (x) = 1

domain of f(x)=(x+2)/(x^2-25)domain

f (x) = \frac{x + 2}{x ^{2} - 25}

inverse of f(x)=2(x-1)^2 inverse

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

intercepts of f(x)=5cos(pi/4 x)intercepts

f (x) = 5 cos (\frac{π}{4} x)

Frequently Asked Questions (FAQ)

What is the range of 5-x^2 ?
The range of 5-x^2 is f(x)<= 5