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Popular >

range of f(x)=25-x^2

Solution

range

f (x) = 25 - x^{2}

Solution

f (x) \leq 25

+1

Interval Notation

(- \infty, 25]

Solution steps

Vertex of

25 - x^{2} :

Maximum

(0, 25)

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, 25)

f (x) \leq 25

Popular Examples

asymptotes of f(x)=(x^2-7x+12)/(x^2+x-6)asymptotes

f (x) = \frac{x ^{2} - 7 x + 12}{x ^{2} + x - 6}

asymptotes of f(x)=(x^2-4x+4)/(x^3-4x^2)asymptotes

f (x) = \frac{x ^{2} - 4 x + 4}{x ^{3} - 4 x ^{2}}

shift f(x)=4cot(3x-(3pi)/4)+2 shift

f (x) = 4 cot (3 x - \frac{3 π}{4}) + 2

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f (x) = - 4 sin (2 π x)

domain of f(x)=ln(x+4)domain

f (x) = ln (x + 4)

Frequently Asked Questions (FAQ)

What is the range of f(x)=25-x^2 ?
The range of f(x)=25-x^2 is f(x)<= 25