MYTUTOR SUBJECT ANSWERS

381 views

How would you sketch the curve of a graph?

A frequent question the comes up in the early parts of core maths is; how would you sketch the graph of a function f(x)?

Sketching just means that you would have to find some key points on a graph - which are actually quite easy to find.

1. What is the domain of the graph?

The domain is just a fancy word for what values you are ALLOWED to put into the function, f(x). To do this you can simply look at the function and for example, see if are there any ways that a nasty "division by 0" can happen, if so, then the value where this happens is not allowed in the domain! So be careful around this point when sketching your graph. (You might also want to think about what happens when your numbers get very close to this? Does your graph shoot off to infinity?).

2. Does the graph meet the x or y axis?

Well to find this out you would firstly set x to 0 (if you can), what is the value of y that comes out? This is the value where the curve meets the y axis! You could then set y to 0 and find where the curve meets the x axis (be careful there could be multiple points).

3. Is there any turning points?

A turning point is where the graph is flat, i.e the gradient is 0. So to find this point you would differentiate and then set the dy/dx term to 0. Solve this and you have where there is a turning point!

But is it a "maximum" or a "minimum" point?

To find this out you could take some points that are just either side of the turning point you just found and put these points back into f(x). This should tell you whether these points are above or below the turning point, if they are above it is a maxima, they're below you have a maxima. Or you might have one below and one above, in this case you have a cubic graph!

Now you have a whole bunch of little proporties on your graph its time to sketch. You know whether there are any points where the function doesn't exist, they points where the functuon meets the axis and any turning points (aslo whether these points are a maxima or minima).

Now you know what your graph roughly looks like!!

Kieran W. 11 Plus Maths tutor, 13 Plus  Maths tutor, GCSE Maths tutor...

10 months ago

Answered by Kieran, who tutored A Level Maths with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

423 SUBJECT SPECIALISTS

£30 /hr

Venetia L.

Degree: General Engineering (Masters) - Durham University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“I study General Engineering at the University of Durham. I have always enjoyed maths and sciences, so hope to help students who share my love for them too!”

£20 /hr

Eleanor J.

Degree: Natural Sciences in Maths and Physics (Masters) - Durham University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Study Maths and Physics at Durham Previous tutoring experience Enjoy helping students improve and enjoy the subjects Adaptable to different academic needs”

MyTutor guarantee

|  1 completed tutorial

£22 /hr

Sam F.

Degree: Economics with Placement (Bachelors) - Bath University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Extended Project Qualification
Economics

“Studying for BSc Hons Economics, A level economics, maths and physics. Able to tutor GCSE/AS/A2 Economics, Maths and GCSE physics!”

About the author

£20 /hr

Kieran W.

Degree: Electrical and Electronic Engineering (Bachelors) - Sheffield University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
-Personal Statements-

“Hi, I am currently in my second year of studying Electrical and Electronic Engineering at the University of Sheffield. I greatly enjoy my degree and the modules which it covers. These modules have a wide variety of content, from elect...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

integrate [xe^(-x)] with respect to x.

Using partial fractions find the integral of (15-17x)/((2+x) (1-3x)^2 )

What's the integral of x^2 +3/x, with respect to x?

Integrate cos(2x)

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok