Graph the function f ( x ) = (1/5^x on the axes below

Answer 1

So, there are three approaches:

1) qualitative: Look for zeroes (numerator): none (never crosses x axis) function stays positive

Look for where the function is undefined (denominator zero): also doesn't happen

Look at behavior as x goes to +/- infinity: function goes to 0 at large positive x. For large negative x (which means 1/5^-x = 5^x), the function goes to infinity.

2) Brute force: make a table of x and y for x = -3,-2,-1, 0, 1,2 ,3 is more than enough to plot

3) Use desmos (online) or TI graphing calculator (You learn the least from this approach, but it's a good check)