For what values of b is f(x) = bx an increasing function? A. Any real number B. b 0 C. b 1 D. 0

Question

For what values of b is f(x) = bx an increasing function? A. Any real number B. b > 0 C. b > 1 D. 0< b <1

anonymous · Answer

?

anonymous · Answer

$$f(x)=bx$$ is a line with slope $b$

anonymous · Answer

unless perhaps you mean 
$$f(x)=b^x$$

dumbsearch2 · Answer

Sorry, my mistake. I meant that.

anonymous · Answer

thought that might be it
what are the conditions on the base so that an exponential function increases (grows) rather than decreases (decays) ?

astrophysics · Answer

Sorry sat

anonymous · Answer

no problem, but that was not the answer in any case

anonymous · Answer

for an exponential function 
$$f(x)=b^x$$ to be well defined it is always the case that $b>0$ and also if $b=1$ it is a constant
the question asks
for which $b$ is $b^x$increasing

astrophysics · Answer

Yeah I realized that, since the functions isn't defined at b = 1, and b > 0.

dumbsearch2 · Answer

Is it that if the base of the x variable is greater than 1, the exponential function is continuously increasing, and if its less than 1, the exponential function is continuously decreasing.?

astrophysics · Answer

b<0* >_>, wow lol.

anonymous · Answer

yes

dumbsearch2 · Answer

So would it be C.	b > 1?

anonymous · Answer

the answer is always C

astrophysics · Answer

Yes, that's right! ^.^

dumbsearch2 · Answer

Thank you everyone :)