- anonymous

Need help a chess competition has eliminations each round. The table below shows the number of players in each of the first 5 rounds of tournament
Round(x) Players f(x)
1 256
2 128
3 64
4 32
5 16
Compute the average rate of change of f(x) from x = 1 to x = 5 identify the meaning of that rate.

- schrodinger

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- Vocaloid

[ f(5)-f(1) ] / (5-1)
find f(5) and f(1), then plug them into the equation

- anonymous

Ok

- anonymous

I'm terrible at math can explain how to do the problem

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- Vocaloid

what is f(5)? (look at the table)

- anonymous

16?

- Vocaloid

yeah! now find f(1)

- anonymous

256?

- Vocaloid

yup! now plug those values into our expression
[f(5)-f(1)] / (5-1)

- anonymous

F(16)-f(256)/ (5-1)?

- Vocaloid

uh, not quite, the f's go away when you replace them
(16-256) / (5-1) = ?

- anonymous

-60 would be the answer?

- Vocaloid

yup!

- anonymous

So it would be -60; on average, there was a loss of 60 each round?

- Vocaloid

yeah! you got it

- anonymous

Thank you! Can you help me with a few more?

- Vocaloid

sure

- anonymous

Ok which of the following options results in a graph that shows exponential growth?
f(x) = 0.4(0.2)^x
f(x) = 4(0.98)^x
f(x) = 0.7(5)^x
f(x) = 5(4)^-x

- Vocaloid

2 requirements for exponential growth:
1. the exponent must be positive
2. the ratio (the number in parentheses) must be greater than 1
given this information, which of the four choices do you think it is?

- anonymous

F(x) = 0.7(5)^x?

- Vocaloid

yeah, you got it ~

- anonymous

Ok 3 more

- anonymous

Which of the following options is an equivalent function to f(x) = 4(3)^2x
f(x) = 36^x
f(x) = 4(9)^x
f(x) = 144^x
f(x) = 4(6x)

- Vocaloid

you can simplify (3^2)^x to 9^x, but you have to leave the 4 alone since it's not attached to the x
f(x) = 4(9)^x

- anonymous

Wait f(x) = 4(9)^x is the answer?

- Vocaloid

yes

- anonymous

Oh ok I would say explain but it seems you already did ok 2 more

- anonymous

For f(x) = 0.01(2)^x, find the average rate of change from x = 12 and x = 15
3
40.96
95.57
286.72

- Vocaloid

it's pretty much the same as the first problem you showed me
[ f(15)-f(12) ] / ( 15-12) = ?

- anonymous

I got 1 but it's not right

- Vocaloid

ok, let's take it step by step
f(15) = ?

- anonymous

x?

- Vocaloid

f(x) = 0.01(2)^x
f(15) = ?

- anonymous

I'm confused I'm so bad at math so your plugging in the 15 so it's f(15) = 0.01(2)^x?

- Vocaloid

when you plug in 15, you replace "x" with 15
so f(15) = 0.01(2)^15

- anonymous

Oh ok

- Vocaloid

so, f(15) = ?

- anonymous

So what do you do with f(15) = 0.01(2)^15

- anonymous

0.01(2)^15

- Vocaloid

just type it out on a calculator and tell me what you get

- anonymous

I don't have that calculator I have to find it

- Vocaloid

you can use an online calculator

- Vocaloid

https://www.bing.com/search?q=0.01(2)%5E15&PC=U316&FORM=CHROMN

- anonymous

327.68

- Vocaloid

right, now find f(12)

- anonymous

40.96

- Vocaloid

right, now go back to the formula I gave you back then
[f(15)-f(12)] / (15-12) = ?

- anonymous

286.72

- anonymous

?

- Vocaloid

you still need to divide by (15-12)

- anonymous

I did I divided 286.72 by 286.72 and I got 1 or do you divide 286.72 by 3

- Vocaloid

you divide by 3

- anonymous

95.57?

- Vocaloid

yeah! that's our answer

- anonymous

Ok this ones a graph

- anonymous

Identify the domain of the exponential function shown in the following graph:
All real numbers
All positive numbers
1 less than or equal to x less than or equal to 30
All integers

- anonymous

Idk how to to add the graph I'm on my phone

- Vocaloid

can you try to draw what it looks like?

- anonymous

How do you draw it?

- Vocaloid

I'm not sure what you would do on a phone

- Vocaloid

Is there a "draw" button anywhere?

- anonymous

Ok hold on

- anonymous

A curve runs just above the x axis through the second quadrant, passes through point 0 comma 1 and continues off screen near 1 comma 12.

- Vocaloid

it seems like the domain would be all real values since there aren't any gaps or asymptotes

- anonymous

Oh ok

- Vocaloid

the first one is the best choice here

- anonymous

I can try attach the graph if it would help strengthen the answer

- anonymous

No need I got them all right thank you!!!

- Vocaloid

great

Looking for something else?

Not the answer you are looking for? Search for more explanations.