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Maths-

General

Easy

Question

How can you graph a rational function ?

The correct answer is: 3. Find the x -intercept (s) and y -intercept of the rational function, if any

A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f(x) = $fraction numerator straight p left parenthesis straight x right parenthesis over denominator straight q left parenthesis straight x right parenthesis end fraction$ , where p(x) and q(x) are polynomials such that q(x) ≠ 0.
Rational functions are of the form y=f(x)y=fx , where f(x)fx is a rational expression .

Find the asymptotes of the rational function, if any.

Draw the asymptotes as dotted lines.

Find the x -intercept (s) and y -intercept of the rational function, if any.

Find the values of y for several different values of x .

Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.

Related Questions to study

Write an equation of a line that passes through the given line and is parallel to the given line.
$left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5$

Write an equation of a line that passes through the given line and is parallel to the given line.
$left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5$

Write recursive formula and find the first term. $a subscript n equals 7 over 2 minus 3 n$

Write recursive formula and find the first term. $a subscript n equals 7 over 2 minus 3 n$

Write an equation of a line that passes through the given line and is parallel to the given line.
$left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4$

Write an equation of a line that passes through the given line and is parallel to the given line.
$left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4$

parallel

Write recursive formula and find the first term. $a subscript n equals 35 plus 52 n$

Write recursive formula and find the first term. $a subscript n equals 35 plus 52 n$

Write recursive formula and find the first term. $a subscript n equals 12 n minus 29$

Write recursive formula and find the first term. $a subscript n equals 12 n minus 29$

Identify the asymptotes and sketch the graph of $straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction$

Identify the asymptotes and sketch the graph of $straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction$

parallel

Write recursive formula and find the first term. $a subscript n equals 108 minus n$

Write recursive formula and find the first term. $a subscript n equals 108 minus n$

Are graphs of the equations parallel, perpendicular or neither?
$y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2$

Are graphs of the equations parallel, perpendicular or neither?
$y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2$

Write recursive formula and find the first term. $a subscript n equals 10 plus 8 n$

Write recursive formula and find the first term. $a subscript n equals 10 plus 8 n$

parallel

Are graphs of the equations parallel, perpendicular or neither?
$x minus 3 y equals 6 space straight & space x minus 3 y equals 9$

Are graphs of the equations parallel, perpendicular or neither?
$x minus 3 y equals 6 space straight & space x minus 3 y equals 9$

What is the graph of $f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction$

What is the graph of $f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction$

Find the equation for a path that passes through the point (-4, 9) and is parallel to $y equals negative 3 over 4 x plus 1$ .

Find the equation for a path that passes through the point (-4, 9) and is parallel to $y equals negative 3 over 4 x plus 1$ .

parallel

Write explicit formula. $a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3$

Write explicit formula. $a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3$

Write explicit formula. $a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12$

Write explicit formula. $a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12$

Write explicit formula. $a subscript n equals a subscript n minus 1 end subscript minus 21 semicolon a subscript 1 equals 56$

Write explicit formula. $a subscript n equals a subscript n minus 1 end subscript minus 21 semicolon a subscript 1 equals 56$

parallel

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