help
Okay?
@Vocaloid
give me a sec
@Vocaloid
@Vocaloid
i know it is an exponential function but not sure why
we can re-write it so it looks like y = ab^x
f(x) = 3^(2x-3) if we apply our exponent rules we can get f(x) = 3^(2x)/3^3
so b?
hold on let me check something
having a bit of a brain fart, trying to re-write 3^(2x) in terms of 3^x but don't remember how
(other than (3^x)^2)
ok apparently it's base 9 (D) had to use software for this >>
oh ok working on 2 to see if i can figure it out
for x ----> - infinity, what happens to the value of b^x?
it's a or c
hint: b^x goes to 0 for very large negative x
but what about very large positive x?
i didn't get an exonential function i got some shaded crap
you don't have to rely on a graph for this, you can think about it in terms of algebra what is the value of b^x like if x is something very large like 1000000?
so it is c because when f is infinity x is too
right?
not quite see how it says "as x ---> 0"? that's not end behavior
end behavior is x---> + infinity or x ---> - infinity
try to think about some of the clues I have given you
the graph has the line at the one because when you do an exponent to the first power it's itself and 0 is 1
again, try not to rely on the graph, you don't always have the option of graphing
so 0 makes sense
we are asking about "end behavior" which is the behavior of the graph when x ---> positive or negative infinity it does not make any sense to look at the function when x ---> 0 because that's not end behavior
x = 0 is the middle of the graph not the end
here are the clues I have given you: when x is a very large negative number, the function goes to 0 when x is a very large positive number, the function goes to very large positive numbers use these clues to find the best answer
what did you get for #2?
a?
0 to -infinity
good! A
i knew it was a or c
4 looks good to me
3 more questions
hint: can y = ab^x be negative if a and b are positive?
no unless you have it is a negative exponent like to the 3 or something
even with a negative exponent, it's still positive! for example, (2)(3)^(-3) is still positive
so your domain is all reals and your range is all real positives
so what would the answer be?
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid so your domain is all reals and your range is all real positives \(\color{#0cbb34}{\text{End of Quote}}\) ^ use this information to find the answer
is it a because b is less than 1 but a real number so -infinity ,0
@Vocaloid
hint: how do you express "all positive numbers" in interval notation?
]
try one more time. "the positive numbers range from ____ to _____" try filling in the blanks
only have like 10 min left
then i have to go
infinity to inifinity
and the negative is the same for negative but that's not an answer choice
so we are down to c or d then
hint: positive numbers start at 0 (not including 0)
so "all positive numbers" becomes (0,infinity) in interval notation
how can we express "all real numbers" in interval notation?
(-infinity,infinity) ?
so c?
awesome, so c is the ans.. for #2
can you check my other 2 then 1 more
3 is right
for 4, x = 1, f(x) = e how can we express this as a point (x,y)?
1,e
good, so C not D
last one? I gotta work on my own hw soon ^_^"
this is it
i'm virtual school lol don't have hw just a lot of assignments
for #1 you would also include f(x) = (-5)^x
so 1,2,4
only 2 answers though and i graphed the secod one and it didn't turn out one
2 points mean 2 answers
oh that's odd :S maybe just go with 1 and 4 then
ok lol i tried clicking 3 answers didn't work said only 2 answers
yep it's 1 and 4
thank you bye
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