what happens as x approaches zero from the positive direction? if(x) gets larger what happens as x…
what happens as x approaches zero from the positive direction? if(x) gets larger what happens as x approaches zero from the negative direction? if(x) gets larger in the negative direction what is the domain of the function? all real numbers x all positive real numbers x all negative real numbers x all real numbers x, except x = 0
Answer
Explanation:
Step1: Analyze domain concept
The domain of a function is the set of all possible input - values (x - values).
Step2: Observe x - values in table
The table shows values of x approaching 0 from both positive and negative directions. Since the function behaves differently as x approaches 0 from the positive and negative directions, x = 0 is a point of interest.
Step3: Determine domain
A function is not defined at a point where there is a discontinuity or an undefined behavior. Here, as x approaches 0, the function has different trends. So, the function is not defined at x = 0. The domain is all real numbers x, except x = 0.
Answer:
all real numbers x, except x = 0