How parentheses help you keep track of terms and avoid making mistakes

We spent most of the time on a Friday sheet. Including parentheses when the problems get more complicated can be very helpful. In the case of these problems, it was useful to see that multiply parts were being multiplied. Like FOILing.

To find intervals that are valid for inequalities, you can think of the inequality sign as an equals sign to find the boundary points and then test numbers in the different regions.

Another problem involved u-substitution again.

Something new in the homework was the ‘end behavior diagram’ which basically shows whether an equation goes very high or very low as the x-coordinates get high and low.