YJC P1 Q4

Given for . If and , sketch the graph of for .

Here, we need to consider what and mean first.

tells us that a reflection about the y-axis.

tells us that every units, is a reflection about the x-axis.

We start by drawing on the GC.

We obtain the above graph but notice we only want . I can’t really add in the axial intercepts here.

Using , we have the graph from to .

Then, with , we have.

Finally

Hi, the first part of the question appears as

“Given $latax h(x) = x \text{cos}x$” (no problem with anything from the word “for”).

yes, cos there is an error in the code