Change of Sign (AQA A-Level Mathematics): Quizzes

📚Quizzes
Change of Sign
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What does the change of sign method find?

Roots of f(x)=0f(x) = 0

What must f(a)f(a) and f(b)f(b) have in interval [a,b][a, b] to locate a root?

Opposite signs

Which methods narrow the interval in change of sign?

Decimal search & interval bisection

When does the change of sign method work well?

When function is continuous

When doesn't the change of sign method work well?

When root is repeated

Graphically, when does f(x)f(x) have a root?

When graph crosses x-axis

For f(x)=x2+7x−12f(x) = x^2 + 7x - 12, if f(1)=−4f(1) = -4 and f(2)=6f(2) = 6, what does this show?

Root between x=1x = 1 and x=2x = 2

What two conditions confirm a root exists in an interval?

Change of sign & continuity

To prove x=1.864x = 1.864 correct to 3dp, which interval must contain the root?

[1.8635,1.8645][1.8635, 1.8645]

If f(1.8635)>0f(1.8635) > 0 and f(1.8645)<0f(1.8645) < 0 with continuity, what does this indicate?

Root lies in [1.8635,1.8645][1.8635, 1.8645]

Explore AQA A-Level Mathematics Revision Notes by Topics

Explore AQA A-Level Mathematics Model Answers by Topics

Explore AQA A-Level Mathematics Flashcards by Topics

Explore AQA A-Level Mathematics Exam Questions by Topics

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

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