Linear and Quadratic Rates of Change (HSC SSCE Mathematics Advanced): Quizzes

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Linear and Quadratic Rates of Change
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What is the rate of change for a linear function y=mx+cy = mx + c?

Constant, equal to mm

How does the rate of change behave in a quadratic function?

It is variable

In E(t)=25t+50E(t) = 25t + 50, what is the rate of change?

25

What is the instantaneous rate of change at a point on a curve?

Gradient of tangent at that point

What is a secant line used for on a curve?

To estimate instantaneous rate

Which represents the general form of a quadratic function?

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

Which is an example of constant rate of change?

Fixed hourly wages

What does a straight-line graph indicate about rate of change?

Rate of change is constant

How do you estimate instantaneous rate using a secant?

Calculate f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}, hh small

For d(t)=5td(t) = 5t, what does the gradient of 5 represent?

Constant speed of 5 m·s−1^{-1}

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