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Popular >

k(x)=((x^2-4))/((x^2+9))

Solution

k (x) = \frac{( x ^{2} - 4 )}{( x ^{2} + 9 )}

Solution

Domain : - \infty < x < \infty

Range : - \frac{4}{9} \leq f (x) < 1

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, - \frac{4}{9})

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (0, - \frac{4}{9})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{4}{9}, 1)

Solution steps

Domain of

\frac{x ^{2} - 4}{x ^{2} + 9} : - \infty < x < \infty

Range of

\frac{x ^{2} - 4}{x ^{2} + 9} : - \frac{4}{9} \leq f (x) < 1

Axis interception points of

\frac{x ^{2} - 4}{x ^{2} + 9} :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, - \frac{4}{9})

Asymptotes of

\frac{x ^{2} - 4}{x ^{2} + 9} :

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 4}{x ^{2} + 9} :

Minimum

(0, - \frac{4}{9})

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Frequently Asked Questions (FAQ)

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