Exponential Function from a table

[verygoodatthings]

Create an Exponential Function from the Data in a Table:

x	y
-1	2.5
0	5
1	10
2	20
3	40

I know the common ratio and stuff but can someone give me the function of the table in y=ab^x form

 

[Deleted member 4993]

x	y
-1	2.5
0	5
1	10
2	20
3	40

I know the common ratio and stuff but can someone give me the function of the table in y=ab^x form

The best way to do this would be to use "ln" function and linearize the form

y = a * b^x

ln(y) = ln(a) + x * ln(b)

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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[stapel]

Create an Exponential Function from the Data in a Table:

x	y
-1	2.5
0	5
1	10
2	20
3	40

I know the common ratio and stuff but can someone give me the function of the table in y=ab^x form

Okay; let's start with what you know. What is the common ratio for this data set?

When you reply, please show all of your steps and reasoning so far, so we can see where you're getting stuck. Thank you!

 

[Ishuda]

x	y
-1	2.5
0	5
1	10
2	20
3	40

I know the common ratio and stuff but can someone give me the function of the table in y=ab^x form

That's what happens when you forget to to click Submit Reply.
Hint: What is b⁰? Since y(0)=a b⁰ = 5, what is a? What is the common ratio? Given that what is b?