Introduction to Rates of Change (HSC SSCE Mathematics Advanced): Flashcards

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Linear and Quadratic Rates of Change
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Rate of change in linear functions

Constant and equals the gradient mm

Rate of change in quadratic functions

Variable (not constant)

General form of a linear function

y=mx+cy = mx + c

What mm represents in y=mx+cy = mx + c

The gradient (or slope)

What cc represents in y=mx+cy = mx + c

The y-intercept

General form of a quadratic function

ax2+bx+c=0ax^2 + bx + c = 0 where a0a \neq 0

Instantaneous rate of change definition

Rate of change at a particular moment in time

How to find instantaneous rate on a curve

Gradient of the tangent line at that point

What is a secant line

A straight line cutting through a curve at two points

Formula to estimate instantaneous rate

f(x+h)f(x)h\frac{f(x + h) - f(x)}{h} where hh is small

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