Plot the graph of 1/x for x greater than 0.

This can seem quite tricky at first, so let's break it down into steps. If we draw a table of x values (for example 0, 1, 2, 3, 4), we can put each value into our equation and find a corresponding value of y. We can now plot the values of y for each value of x on our graph. This gives us an idea of what the graph will look like. As x gets bigger (and positive), the value of y gets smaller (and positive). We can see that it gets smaller and smaller, but never reaches zero.Now, dividing 1 by another number smaller than 1 results in a number bigger than 1 e.g. 1÷0.5 = 2. So as x gets smaller and smaller than 1, y will get bigger and bigger. This is exactly the same situation for x getting really big! We can now finish off our graph sketch.Just remember to write out those points, and think about what happens between them. This method of sketching works for any graph, and there's lots more to be explored if we have enough time!

OT
Answered by Orlando T. Further Mathematics tutor

2074 Views

See similar Further Mathematics GCSE tutors

Related Further Mathematics GCSE answers

All answers ▸

Find the General Second Order Differential Equation Using Substitution (A2 Further Maths)


Point A lies on the curve: y=x^2+5*x+8. The x-coordinate of A is -4. What is the equation of the normal to the curve at A?


A circle has equation x^{2}-8x+y^{2}-6y=d. A line is tangent to this circle and passes through points A and B, (0,17) and (17,0) respectively. Find the radius of the circle.


f(x) = 3x^3 – x^2 – 20x – 12 (a) Use the factor theorem to show that (3x + 2) is a factor of f(x). [2 marks] (b) Factorise f(x) fully. [3 marks]


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences