Which of the two functions below has the smallest minimum y-value?
f(x)=4(x-6)^4+1
g(x)=2x^3+28
A. g(x)
B. The extreme minimum y-value for f(x) and g(x) is negative infinity
C. There is not enough information to determine
D. f(x)

Question

lilah · Answer

is it D? @jim_thompson5910

jim_thompson5910 · Answer

why do you think D?

sshayer · Answer

$$f(x)\ge 1$$
$$-\infty<g(x)< \infty$$

zzr0ck3r · Answer

One has no minimum value, and the other one does. Do you know which one has a minimum value?

lilah · Answer

Too late i alreadu put D v.v

lilah · Answer

what was the answer though??

lilah · Answer

already*

zzr0ck3r · Answer

I disagree

jim_thompson5910 · Answer

If you don't have a set domain, then the g(x) would win in terms of having the smallest value. Though technically g(x) doesn't have a min at all. It heads off to negative infinity

zzr0ck3r · Answer

A function with no set domain makes no sense and I am sure we are to assume it is the real numbers

jim_thompson5910 · Answer

sorry that's what I meant. I meant if you don't have a set interval, and the domain is the set of all reals, then g(x) would have the smallest min, so to speak

lilah · Answer

ohh darn it, thanks for explaining guys