MHB Calculating g(x) for Y=f(x) Passing Through Points

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The discussion focuses on calculating the function g(x) defined as g(x)=2f(x-1) using the points provided for f(x). The calculations for g(0), g(1), g(2), and g(3) are based on the values of f at specific points. For g(0), it is determined that g(0)=6 by evaluating f(-1), which equals 3. Participants are encouraged to continue with the calculations for g(1), g(2), and g(3). The interaction highlights collaborative problem-solving in mathematics.
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Y=f(x)
which passes through points:
(-1,3) and (0,2) and (1,0) and (2,1) and (3,5)
second function is defined: g(x)=2f(x-1)

Calculate g(0)
Calculate g(1)
Calculate g(2)
Calculate g(3)
 
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AndreArgo said:
Y=f(x)
which passes through points:
(-1,3) and (0,2) and (1,0) and (2,1) and (3,5)
second function is defined: g(x)=2f(x-1)

Calculate g(0)
Calculate g(1)
Calculate g(2)
Calculate g(3)

Hello, and welcome to MHB! (Wave)

We are given:

$$g(x)=2f(x-1)$$

We are also given 5 points in the form:

$$(x,f(x))$$

And so:

$$g(0)=2f(0-1)=2f(-1)=2\cdot3=6$$

Does that make sense? Can you continue?
 
MarkFL said:
Hello, and welcome to MHB! (Wave)

We are given:

$$g(x)=2f(x-1)$$

We are also given 5 points in the form:

$$(x,f(x))$$

And so:

$$g(0)=2f(0-1)=2f(-1)=2\cdot3=6$$

Does that make sense? Can you continue?
Just figured it out. Thank you Mark
 

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