Average Rate of Change (VCE SSCE Mathematical Methods): Quizzes

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Average Rate of Change
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What is the formula for average speed?

total distance ÷ total time

What is a secant?

A line through two points on a curve

What is the average rate of change formula for f(x)f(x) over [a,b][a, b]?

f(b)−f(a)b−a\frac{f(b) - f(a)}{b - a}

On a distance-time graph, what does the gradient of a secant line represent?

Average speed

What does a negative average rate of change indicate?

The function is decreasing

For f(x)=x2−2x+5f(x) = x^2 - 2x + 5 from x=1x=1 to x=5x=5, what is the average rate of change?

44

In f(b)−f(a)b−a\frac{f(b) - f(a)}{b - a}, what does the numerator represent?

Change in yy values

What is the difference between a secant and a chord?

Secant extends infinitely, chord is segment

If an object travels 1818 m in 1010 s, what is its average speed?

1.81.8 m/s

For points A(2,12)A(2, 12) and B(12,30)B(12, 30), what is the average rate of change?

1.81.8

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Recognising Relationships

Constant Rate of Change

Average Rate of Change

Instantaneous Rate of Change

Position and Average Velocity

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