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

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

Which statements are true?

The price of the stock increased the first 3 years.

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

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

The value of the stock is negative between the third year and midway between the eighth and ninth year.

The stock started to increase again between the eighth and ninth year. 2. Consider two functions: g(x)=20(1.5)x and the function ​f(x)​ shown in the graph.

Which statements are true?

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

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

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

​f(x)​ increases at a faster rate than ​g(x)​does on the interval  (−5, −3) . Feb 13, 2018

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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 3rd year and midway between the 8th and 9th year.

False

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

True

Feb 14, 2018
#2
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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

Feb 14, 2018
#3
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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   Feb 14, 2018