Question

Please help me with this

Answer 1

1) False - g(x) graph is higher than f(x) and h(x)
rate of change g(x)=((20*3+4)-(20*2+4))/(3-2)=20
rate of change h(x)=(2*9+15+2-2*4-10-2)=(18+15-8-10)=15
rate of change f(x)=(3³+2 -3²-2)=18
So, g(x) has higher average rate than h(x) and f(x)
2)False -the value of f(x) exceeds only h(x), but less than g(x)
f(4)=3⁴+2=83
g(4)=20*4+4=84
h(4)=2*4²+5*4+2=54
3)f(8)=3⁸+2=6563 False
g(x)=20*8+4=164
h(x)=2*8²+5*8+2=170
4)false
f(x) fastest function
5)TRUE f(x) fastest function
6) TRUE

Answer 2

A
Graph g
The Rate of change is a little right triangle that is drawn from to to three parallel to the x axis and from about 45 to 60 on the y axis.
The square brackets means the the endpoints are included.
So the rate of change is
`(\Delta y)/(\Delta x) = (60-45)/(3 - 2) = \text{15}`
Graph h

`\text{rate of change = } (\Delta y)/(\Delta x) = (35 - 20)/(3 - 2) = 15`
Graph f

`\text{rate of change = } (\Delta y)/(\Delta x) = (35 - 10)/(3 - 2) = 25`
Conclusion
This is very hard to call. There are two the same (two of them being g and h) It's a graph and so it is nearly impossible to differentiate. I would say the statement is false but be prepared to get it wrong. Draw g and h for yourself and see what you think. If you get the two of them different, go with your answer.

B
Another tough one to call. f and g cross at four. It is true f and h. The value of f(4) > h(4). Again, if you do this and disagree, then go with your answer. Mine is false.

C
It is very difficult to reproduce this graph on desmos so that you get a clear cut answer from the graph. I cheated and used a calculator. f(x) is over 6000 and h(x) = 168. This statement is also not true.

D
Here again this is false. g's rate of change is a constant. Eventually f will have the same slope as bitcoin's value which is in the range of about 6000. So this statement is false as well.

E
See the comment about F in the answer for D. This statement is true.

F
This is definitely a true statement.

Conclusion or answer
E and F <<<<<<< True should be checked.

I would check the first two statements with a calculator. I did them with a graph.