Question

Katie says the graph of y=8 . (1/2)^x is the same as the graph of f(x)=8 . (1/2)^x. Do you agree? Explain your reasoning.

Answer 1

Answer:

Yes

Step-by-step explanation:

Katie's Graph equation: $y=8(\frac{1}{2})^x$

Another graph equation: $f(x)=8(\frac{1}{2})^x$

Since the right hand side of both the equations of graphs are equal

So, Left hand side of both equations of graphs must be equal

So, : $y=f(x)$

So, the graph of $y=8(\frac{1}{2})^x$  is the same as the graph of   $f(x)=8(\frac{1}{2})^x$

Refer the attached figure

Purple line : $f(x)=8(\frac{1}{2})^x$

Red line :  $y=8(\frac{1}{2})^x$

Answer 2

Answer:

Yes

Step-by-step explanation:

Yes, the graph of y=$8{\times}(\frac{1}{2})^{x}$ is same as the graph of f(x)=$8{\times}(\frac{1}{2})^{x}$ because the right hand side of both the equations is equal that is $8{\times}(\frac{1}{2})^{x}$, therefore by substituting different values of x in both equations, we obtain the same graph.