Question

HELP PLEASE!

Which function equation is represented by the graph?


a) f(x)=5(3/5)^x ​

​b) f(x)=5(5/2)^x ​

c) f(x)=5(2/5)^x

​d) f(x)=5(5/3)^x ​

Answer 1

Hello there,

The table below explain's how "f(x)=5(3/5)^x" is the correct answer.

I hope this helps you!

~Jurgen

Answer 2

The function
`a)f(x)=5((5)/(2))^(x)` is which is represented by the graph shown.

Explanation:

As the graph is depicted in the interval (-1, 10), you should give values to each function within this interval to know which is the correct function.

1. When x=0, as any number raised to zero gives one, all functions will have the value 5 as a result

`a)f(x)=5((3)/(5))^(0)\\f(x)=5(1)\\f(x)=5`

`b)f(x)=5((5)/(2))^(0)\\f(x)=5(1)\\f(x)=5`

`c)f(x)=5((2)/(5))^(0)\\f(x)=5(1)\\f(x)=5`

`d)f(x)=5((5)/(3))^(0)\\f(x)=5(1)\\f(x)=5`

2. When x=1

`a)f(x)=5((3)/(5))^(1)\\f(x)=5((3)/(5))\\f(x)=3`

`b)f(x)=5((5)/(2))^(1)\\f(x)=(25)/(2)`

`c)f(x)=5((2)/(5))^(1)\\f(x)=5((2)/(5))\\f(x)=2`

`d)f(x)=5((5)/(3))^(1)\\f(x)=5((5)/(3))\\f(x)=(25)/(3)`

You could continue giving values to x to find the other values that the function takes but it is not necessary because as you can see the only function that gives the value f(x)=2 when x=1 is the third one, therefore the function
`a)f(x)=5((5)/(2))^(x)` is which is represented by the graph shown.