EM-2014

Graphs of power functions

E Math · Secondary 4 · Hard · Graphs of power functions

The variables

x

and

y

are connected by

y = \dfrac{1}{x^2} + 3

.

Which statement best explains why the graph of this curve does not touch the

y

-axis?

Because $\dfrac{1}{x^2}$ is undefined when $x = 0$ , so $y$ is not defined on the $y$ -axis.
Because $y$ is always negative, so it cannot cross the $y$ -axis.
Because the graph is a straight line parallel to the $y$ -axis.
Because $x$ must always be 0 on this graph.

Loading problem…