Functions (Graphs and Behaviour)

Hong Kong

Stage 4 - Stage 5

Suppose the constant of variation $k$`k` is positive.

a

If $y$`y` varies directly as $x$`x`, which of the following is true?

When $x$`x` increases, $y$`y` increases. When $x$`x` decreases, $y$`y` decreases.

A

When $x$`x` increases, $y$`y` decreases. When $x$`x` decreases, $y$`y` decreases.

B

When $x$`x` increases, $y$`y` increases. When $x$`x` decreases, $y$`y` increases.

C

When $x$`x` increases, $y$`y` decreases. When $x$`x` decreases, $y$`y` increases.

D

b

If $y$`y` varies inversely as $x$`x`, which of the following is true?

When $x$`x` increases, $y$`y` decreases. When $x$`x` decreases, $y$`y` increases.

A

When $x$`x` increases, $y$`y` increases. When $x$`x` decreases, $y$`y` decreases.

B

When $x$`x` increases, $y$`y` decreases. When $x$`x` decreases, $y$`y` decreases.

C

When $x$`x` increases, $y$`y` increases. When $x$`x` decreases, $y$`y` increases.

D

Easy

Approx a minute

Does the equation $y=5x$`y`=5`x` represent direct or inverse variation?

Does the equation $y=\frac{5}{x}$`y`=5`x` represent direct or inverse variation?

The period of a pendulum varies directly with the square root of its length.

If the length is quadrupled, what happens to the period?

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