What is a proportional function?

A function where the output is equal to the input times a constant

A function on the form $$f(x) = ax^2 + b$$

A function where the slope is always 2

A function where the $$x$$-value and the $$y$$-value are equal

...

Activities 4

Which of these functions are proportional?

\begin{array}{l} y & = x + 90 \\ f (x) & = 0.01 x \\ g (x) & = x^{2} \\ h (x) & = 10 000 x \end{array}

Which of these function tables describe proportional functions?

Which of these graphs show a proportional function?

A line going through (0,0) and (1,5)

(a)

A line going through (0,0.5) and (2,6.5)

(b)

You can find the solutions here.

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