Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

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

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.