Question

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:

1. As x increases infinitely, the y-values are continually doubled for each single increase in x.
2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.

Answer 1

She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine’s statements and her conclusion?

a. Statement 1 is incorrect because the y-values are increased by 2, not doubled.
b. Statement 2 is incorrect because the y-values are doubled, not halved.
c. The conclusion is incorrect because the range is limited to the set of integers.
d.The conclusion is incorrect because the range is limited to the set of positive real numbers.

Answer 2

IDK LOL. WHAT IS THIS

Answer 3

@tkhunny

Answer 4

i havent took this in like two years so i have no clue whats so

Answer 5

Do you mean 2^x which is \(2^{x}\)? Otherwise, we have no exponential.

Answer 6

i just copied it from my online class

Answer 7

That can be a problem. You have to read what you copy and look very carefully at what it means. In this case, we;re talking about exponentials, so 2x will just not do. It should be 2^x

First a hint.

1
2
4
8
16
32
64
There appears to be no limit to the y-values as the x-values increase.

1
0.5
0.25
0.125
0.0625
0.03125
0.015625
0.0078125
0.00390625
0.001953125
Even though it is cut in half each time, it just never quite gets to zero. Zero appears to be a limit.

Answer 8

i think you're right