Applying Function Notation (VCE SSCE Mathematical Methods): Quizzes

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Applying Function Notation
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10 questions from this quiz

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What does the practical domain of a function consist of?

Input values that make sense in context

For the sphere volume function V(r)=43πr3V(r) = \frac{4}{3}\pi r^3, what is the practical domain?

(0,)(0, \infty)

Why can't negative time periods be in a practical domain?

They don't make sense in real contexts

To find aa and bb in f(x)=ax+bf(x) = ax + b from two points, what method is used?

Simultaneous equations

If f(x)=ax+bf(x) = ax + b, f(1)=7f(1) = 7, and f(5)=19f(5) = 19, what is the value of aa?

33

For f(x)=3x+4f(x) = 3x + 4, what is the xx-intercept?

43-\frac{4}{3}

When you know the zeros pp and qq of a quadratic, which form should you start with?

f(x)=k(xp)(xq)f(x) = k(x - p)(x - q)

If f(4)=f(2)=0f(4) = f(-2) = 0 and f(0)=16f(0) = 16, what is kk in f(x)=k(x4)(x+2)f(x) = k(x - 4)(x + 2)?

2-2

What is a common mistake when working with quadratics that have known zeros?

Expanding too early instead of using factored form

What exam strategy is recommended when finding parameters in functions?

Clearly label equations before solving

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