How Do Y=2f(x) and Y=f(2x) Outputs Differ?

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SUMMARY

The discussion focuses on the differences between the functions Y=2f(x) and Y=f(2x) using the cubic function f(x)=x^3 as an example. When evaluating these functions at specific points, such as x=5 and x=1, the outputs differ significantly: for x=5, Y=2f(x) results in 250 while Y=f(2x) yields 1000; for x=1, Y=2f(x) gives 2 and Y=f(2x) results in 8. This illustrates that Y=2f(x) scales the output of the function by a factor of 2, while Y=f(2x) compresses the input, leading to a different output behavior.

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Jkohn
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Hey all..so Ill go ahead and say that I recently discovered passion for math..I didnt really learn too much in high school

when graphin y=-f(x)
-how would I input on ti83?

how do y=2f(x) differ from y=f(2x)
-when it comes to input and output..how would the outputs differ? I am basically lost in the "how to" for the output

ty!
 
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how do y=2f(x) differ from y=f(2x)

Why not trying with an example ?

case f(x) = x^3 (cubic function)

try x=5 :
2f(x) = 2 (5^3) = 2(125) = 250
f(2x) = f(10) = 10^3 =1000
So 2f(x) differ from f(2x)

or try x=1 :
2f(x) = 2 (1^3) = 2
f(2x) = 2^3 = 8
 

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