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Popular >

range of f(x)=5-x^2

Solution

range

f (x) = 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

inverse of f(x)=(x^2+1)/4 inverse

f (x) = \frac{x ^{2} + 1}{4}

range of-sqrt(x-3)range

- x - 3

inverse of (4s+12)/(s^2+8s+16)inverse

\frac{4 s + 12}{s ^{2} + 8 s + 16}

domain of y=ln|x|domain

y = ln ∣ x ∣

simplify (0.2)(3)simplify

(0.2) (3)

Frequently Asked Questions (FAQ)

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