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Popular Functions >

f(x)=(2x^2)/(x^2-25)

Solution

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

Solution

Domain : x < - 5 or - 5 < x < 5 or x > 5

Range : f (x) \leq 0 or f (x) > 2

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 5, x = 5, Horizontal y = 2

Extreme Points : Maximum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Range : (- \infty, 0] \cup (2, \infty)

Solution steps

Domain of

\frac{2 x ^{2}}{x ^{2} - 25} : x < - 5 or - 5 < x < 5 or x > 5

Range of

\frac{2 x ^{2}}{x ^{2} - 25} : f (x) \leq 0 or f (x) > 2

Axis interception points of

\frac{2 x ^{2}}{x ^{2} - 25} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2 x ^{2}}{x ^{2} - 25} :

Vertical

: x = - 5, x = 5,

Horizontal

: y = 2

Extreme Points of

\frac{2 x ^{2}}{x ^{2} - 25} :

Maximum

(0, 0)

Graph

Popular Examples

f(x)=(sqrt(x+1))^2

f(x)=x^{3/4}+3.3\sqrt[4]{x^3}

s(t)=(\sqrt[3]{t})/5

f(x)=x^3-6.5x^2+11.2x-3.1

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2)/(x^2-25) ?
The f(x)=(2x^2)/(x^2-25) is