Graphs of Functions (AQA A-Level Mathematics): Flashcards

📚Flashcards
Solving Equations Graphically
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

9 cards from this deck

Show

What does solving equations graphically find?

Points where two functions intersect on a graph

Solutions to f(x)=g(x)f(x) = g(x) are

xx-coordinates where y=f(x)y = f(x) and y=g(x)y = g(x) intersect

For f(x)=0f(x) = 0, find solutions where

Graph y=f(x)y = f(x) crosses the xx-axis

Intersection points represent

Solutions to the equation

Solutions in graphical method are

xx-coordinates of intersection points

Graphs needed for x2+x6=2xx^2 + x - 6 = 2x

y=x2x6y = x^2 - x - 6 and y=2xy = 2x

Solutions of x2+x6=2xx^2 + x - 6 = 2x

x=2x = -2 and x=3x = 3

Rearranged form of x34x=x+2x^3 - 4x = x + 2

y=x35x2y = x^3 - 5x - 2

To solve graphically, plot

Each side of equation as a function on same graph

Join 100,000+ A-Level students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.