Question

A medal will be rewarded:

The functions f(x) and g(x) are described using the following equation and table:

f(x) = -6(1.02)^x

x | g(x)
____ | ______
-1 -5
0 -3
1 -1
2 1


Which equation best compares the y-intercepts of f(x) and g(x)?

A.) The y-intercept of f(x) is equal to the y-intercept of g(x).

B.) The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

C.) The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).

D.) The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answer 1

@cwrw238 May I have some help?

Answer 2

B... F(x) is -6 and g(x) is -3

Answer 3

How did you get that?

Answer 4

I looked at it... If you sub 0 in for the first equation for f(x) you get -6

Answer 5

That's it... and then for the table for g(x) you can see when x is 0 g(x) = -3

Answer 6

Are you sure? @SA-Michael is that what you got? :-)

Answer 7

g(x) = 2x-3 I think

Answer 8

They are not asking what the function is though. You only need to answer the question about the y intercepts.

Answer 9

The y-intercepts are when x is 0.

Answer 10

Well yeah just sayin...

Answer 11

Ok I understand. :-)

Answer 12

Thank you both for the help.

Answer 13

no problem.

Answer 14

May I please have help w/ another question?

Answer 15

It's not like this; it's an irrational and rational problem.

Answer 16

Given the two expressions shown below:

square root of 64 plus square root of 5
square root of 64 plus square root of 4

Which statement best describes the two expressions?
Both are rational.

Both are irrational.

A is rational, but B is irrational.

A is irrational, but B is rational.

Answer 17

I just solved it, but I don't know if the answer I got was correct. I got " Both are irrational. "

Answer 18

Seriously, I need to know about this one; I don't really understand it, and I got the second choice as my answer.

Answer 19

Oh hi, yeah.. sorry I thought this problem was done. I'll look at it.

Answer 20

Thank you. <3

Answer 21

I got "Both are irrational." as my answer.

Answer 22

I would say b is rational
think the square of 64 is ____? Correct! It's 8. plus the square root of 4 is ____?

Answer 23

Easily solvable no? but the square root of 5 is a very long series of numbers

Answer 24

irrational

Answer 25

Right, ok, so the A is irrational, yet B is rational. SO the actual answer is B.? @klik

Answer 26

Whichever choice corresponds to what you said. Yes.

Answer 27

Would you mind helping me w/ another one? I'll close this question, and start a new one.
:-)

Answer 28

Oh man. But that's it, I got to do stuff with my life. I can't sit in this chair much longer.

Answer 29

Thank you, just this last question is all!

Answer 30

Did you post it already?

Answer 31

Yeah, here: The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x - k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is ________.

Answer 32

Ok. You got this. Think about it. The function is shifted down. What axis deals with up and down?

Answer 33

The Y - axis.

Answer 34

In a function how do you find the value of y?

Answer 35

.....I think like f(x)? or no, no...hold on...

Answer 36

You're right

Answer 37

0___0 I need to trust myself more. XD

Answer 38

A function is a relationship, ok. Remember that. If you have f(x) = "x + stuff times things"
The value you find for f(x) is the y.

Answer 39

A function is basically like saying, what is the value of Y for the value of X. That's why we use the notation f(x)

Answer 40

f(2) will give you the value of Y when x = 2

Answer 41

You follow?

Answer 42

I completely understand. :-)

Answer 43

Awesome!! Ok so if we know that the graph shifted down three units. What does that tell us? Remember you said yourself that it deals with the y axis since we know it's going in the up and down direction (vertical shift)

Answer 44

This tells us that since it's going down 3, it's -3.

Answer 45

Yeah buddy.

Answer 46

SO THE ANSWER IS -3 OH MY GOSH 0_____0

Answer 47

f(x) = "equation from before" - 3.

Answer 48

I UNDERSTAND

Answer 49

Holy Jabrony
Good job man. Keep up the genius.

Answer 50

AFTER ALL THOSE TALKS W/ MY ALGEBRA TEACHER, AND THE TEARS I CRIED, I FINALLY UNDERSTAND.

Answer 51

Thank you.

Answer 52

No problem. Sometimes it just takes a different point of view on a problem.

Answer 53

You're awesome.

Answer 54

Ok. That was the last one right? We had a deal I believe. I'm gonna get out of this chair and do somethin. I'll be around of course if you need help on some things.

Answer 55

I'm glad to help

Answer 56

Yeah, our deal was kept. :-)

Answer 57

Go play some tennis.

Answer 58

Go rollerblading in Pasadena.