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Popular >

y=((2x^2+3))/((x^2-7))

Solution

y = \frac{( 2 x ^{2} + 3 )}{( x ^{2} - 7 )}

Solution

Domain : x < - 7 or - 7 < x < 7 or x > 7

Range : f (x) \leq - \frac{3}{7} or f (x) > 2

Y Intercepts : (0, - \frac{3}{7})

Asymptotes : Vertical x = - 7, x = 7, Horizontal y = 2

Extreme Points : Maximum (0, - \frac{3}{7})

+1

Interval Notation

Domain : (- \infty, - 7) \cup (- 7, 7) \cup (7, \infty)

Range : (- \infty, - \frac{3}{7}] \cup (2, \infty)

Solution steps

Domain of

\frac{2 x ^{2} + 3}{x ^{2} - 7} : x < - 7 or - 7 < x < 7 or x > 7

Range of

\frac{2 x ^{2} + 3}{x ^{2} - 7} : f (x) \leq - \frac{3}{7} or f (x) > 2

Axis interception points of

\frac{2 x ^{2} + 3}{x ^{2} - 7} :

Y Intercepts

: (0, - \frac{3}{7})

Asymptotes of

\frac{2 x ^{2} + 3}{x ^{2} - 7} :

Vertical

: x = - 7, x = 7,

Horizontal

: y = 2

Extreme Points of

\frac{2 x ^{2} + 3}{x ^{2} - 7} :

Maximum

(0, - \frac{3}{7})

Popular Examples

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f (x) = ln (- 3 - x)

Frequently Asked Questions (FAQ)

What is the y=((2x^2+3))/((x^2-7)) ?
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