00:01
Alright, in your question, you're shown the graph of the function f of x equals 3 to the negative x power.
00:08
And what we can see from the graph is that it is a decreasing function going through the y -axis at 1, and then seeming to level off and not touch the x -axis, getting very close.
00:23
Now your question is true or false, will this graph, the graph will never cross the x -axis.
00:33
So we want to answer, is that true or false? alright, so what you need to understand here is we are taking a positive number and we're raising it to a power.
00:55
Whenever we take a positive number and we raise it to a power, any power, the answer is always positive.
01:05
What's happening with the negative exponent, as x gets bigger, the exponent's technically getting smaller...