Question

without graphing, determine whether the function represents exponential growth or decay. what is the y-intercept

Answer 1

@dan815

Answer 2

Do you know anything about exponential growth/decay?

Answer 3

yes but i'm quite confused

Answer 4

Okay, so the standard form for an exponential growth function is \(\Large y= a(b)^x \) right?

Answer 5

if the number outside the parenthesis is larger then it's decay?

Answer 6

yes

Answer 7

Actually, for this, the A variable doesn't play a big role in determining growth/decay. It'll be "b" that determines it.

If b is between 0 and 1, then it is decaying. If b> 1 then it is increasing.

Answer 8

Here's a good reference: http://www.regentsprep.org/regents/math/algebra/AE7/ExpDecayL.htm

Answer 9

1. growth 2. decay 3. decay

Answer 10

Yup, yup, and yup :)

Answer 11

and y intercept ??

Answer 12

That would be the functions A variable :P

In the first few sentences if you need clarification: http://wmueller.com/precalculus/families/1_21.html

Answer 13

1. 0,2 2. 0,4 3. 0,3

Answer 14

Not sure if it needs to be in point form but yess

Answer 15

thank you so much @Luigi0210 !!

Answer 16

\(\Large \color{green}{You're~~Welcome} ~\color{red}{\ddot\smile} \)