00:01
In this problem, we're analyzing polynomial functions, and the first question says, can the graph of a polynomial function have no y intercept? and so what we want to think about is where does the y intercept come from? the y intercept, that is the y value when x equals zero.
00:22
Now, because a polynomial function, by definition, is defined for all real numbers of x, we know that there's a y value when x equals zero.
00:31
So since there's always going to be an output for every input of x, there has to be a y intercept.
00:48
So we're going to say has to be y intercept because f of x is defined for all, from negative infinity to infinity.
01:02
And again, that's the definition of a polynomial function.
01:05
Next, it says, can i have no x intercept? and for this one, it's quite different.
01:09
The x intercepts are x values, which make the polynomial function...