Question

Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices: f(x) = 50^x f(x) = 100^x f(x) = 2(25)^x f(x) = 4(25)^x

Answer 1

@green_1

Answer 2

@Adi3

Answer 3

@Michele_Laino @Zale101

Answer 4

f(x) = 100^x

Answer 5

can u help me with another? @Adi3

Answer 6

i just told you the answer

Answer 7

Identify the domain of the exponential function shown in the following graph:
choices:
all real numbers
x greater than or equal to 0
x greater than or equal to 0, 30000 is greater than or equal to x
x greater than or equal to 7, 30000 is greater than or equal to x

Answer 8

i think it is A or B

Answer 9

@bruno101

Answer 10

@TylerD

Answer 11

@green_1

Answer 12

@baller4life

Answer 13

@Hero

Answer 14

@mathmate

Answer 15

@TheSmartOne

Answer 16

I see mathmate is typing a reply, so I'll leave it to him :)

Answer 17

Hint for the original question:
\(f(x)=a(b^{cx})=a[(bc)^x]\) by the law of exponents.

Answer 18

Domain is the set of all valid input for the function, i.e. the valid values along the x-axis.
For the question of domain, observe from the graph the valid values along the x-axis.
Decide if x<0 is part of the domain, if x=0 is part of the domain, if x=10000 is part of the domain.

Answer 19

so b

Answer 20

@mathmate

Answer 21

@TheSmartOne

Answer 22

I will be glad to comment on your answer if you would post the answer itself and not the assumed letter choice.

Answer 23

x greater than or equal to 0 @mathmate

Answer 24

Exactly.
"x greater than or equal to 0" is the domain of the given function because the function starts at 0 towards the right, with no limitation where it stops.
Also there are no vertical asymptotes or discontinuities.

Answer 25

do you know the second one. @mathmate

Answer 26

I thought this is the answer to the second question. Let me check.

Answer 27

Do you mean the third one?
Hint:
average rate = \(\Large \frac{f(x_2)-f(x_1)}{x_2-x_1}\)
where in your case x1=1, x2=4.

Answer 28

yeah i know the formula and i got -55/3 but the reasoning behind that answer make no sense @mathmate

Answer 29

Can you show me how you found -55/3? We'll try to fix it if it does not work! :)

Answer 30

-14/3 is what i meant @mathmate

Answer 31

@TylerD

Answer 32

Yes, -14/3 is correct, obtained as (2-16)/3=-14/3.
Well done!