Function analysis calculus homework

So, for the domain we need to avoid division by zero, square roots of negative numbers, logarithms of zero and logarithms of negative numbers (if not familiar with logarithms we’ll take a look at them a little later ), etc. The range of a function is simply the set of all possible values that a function can take.

Both will appear in almost every section in a Calculus class so you will need to be able to deal with them. First, what exactly is a function?

Now, there are two possible values of y y that we could use here. We could use y = 2 y = 2 or y = − 2 y = − 2. Since there are two possible values of y y that we get from a single x x this equation isn’t a function. Note that this only needs to be the case for a single value of x x to make an equation not be a function.

You’ll need to be able to solve inequalities like this more than a few times in a Calculus course so let’s make sure you can solve these. The first thing that we need to do is determine where the function is zero and that’s not too difficult in this case. So, the function will be zero at t = − 2 t = − 2 and t = 3 t = 3.