1. The graph shows the average price of stock each year for 11 years.

1.

The price of the stock increased the first 3 years.

True

The price of the stock never fell below its original value.

True

The average price in year 11 was less than the relative maximum price between years 1 and 5.

False

The value of the stock is negative between the 3^rd year and midway between the 8^th and 9^th year.

False

The stock started to increase again between the 8^th and 9^th year.

True

2.

And     g(x)  =  20(1.5)^x

​g(x)​ has a greater y-intercept than ​f(x)​.

the y-intercept of  g(x)   =   g(0)   =   20(1.5)⁰   =   20

the y-intercept of   f(x)   =   15

20  is greater than  15 , so

True

​f(x)​ and ​g(x)​ are negative when x is less than 0.

False – there are no values that cause  f(x)  or  g(x)  to be negative.

f(x) and ​g(x)​ are both increasing on the interval  (−∞, ∞) .

True

​f(x)​  increases at a faster rate than ​ g(x) ​ does on the interval  (−5, −3) .

This is harder to tell....

rate of increase of f(x) on the interval looks like about  0.1

rate of increase of g(x) on the interval   ≈  1.646

so I think its

False

I believe that hectictar's last answer is correct , as well

It appears that  f(x) might be  =  15(2)^x   since the points (0, 15)  and (1, 30) are on the graph

Rate  of change  on  -3 to -5  for   f(x)  =

[ 15(2)^(-3)  -  15 (2)^(-5) ] / [ -3  - - 5 ]  =  ( 15/8 - 15/32 ) / 2   ⇒  0.703

Rate of  change  on  -3 to - 5  for g(x)

[ 20(1.5)^(-3)  - 20(1.5)^(-5) ]  /  [ - 3 -  - 5 ]  =  (160/27 - 640/243 ) / 2  ⇒  1.646

So....."False" seems correct