The graph below shows three functions:

Question

anonymous · Answer

attachment

anonymous · Answer

Which function has all real numbers as its domain?
(A) Only f(x) 
(B) Both g(x) and p(x) 
(C) Both f(x) and g(x) 
(D) Only p(x)

danjs · Answer

The domain will be all the possible values of the independent variable. In this case all the x values. So which graph covers negative infinity to positive infinity in the x value range?

anonymous · Answer

Is it D?

danjs · Answer

yeah, the other two are line segments, they only have a domain that ends where each of the endpoints are

anonymous · Answer

Thank you so much for helping me out! :)

danjs · Answer

the curve looks like the function y = e^x  or some exponential

danjs · Answer

the domain of e^x all real

anonymous · Answer

Yeah now I understand.

danjs · Answer

although it looks like it approaches one of those asmnytope (spelling) things, it actually has values for large x values, just HUGE y values

anonymous · Answer

okay

anonymous · Answer

So, I was correct, right?

danjs · Answer

yes, p(x) has a domain$$(-\infty, \infty)$$

danjs · Answer

all real numbers

anonymous · Answer

Real numbers are positive and negative. Got it!

danjs · Answer

they just try to trick you because it looks like the graph stops moving sideways to the right, just does that very slowly . like 

x=38, y already equals some number times 10^16 power, huge

anonymous · Answer

Yeah. Very true.

danjs · Answer

y = e^x    

x = 75
y = 3.7 x 10^32

ridiculous numbers