Respuesta :

I'm assuming the function is f(x) = 100(0.7)^x. This is the same as y = 100(0.7)^x because y = f(x). 

Plug in x = 0 to get
y = 100(0.7)^x
y = 100(0.7)^0
y = 100(1)
y = 100
So (x,y) = (0,100) is one point on this function curve

Plug in x = 2 to get
y = 100(0.7)^x
y = 100(0.7)^2
y = 100(0.49)
y = 49
So (x,y) = (2,49) is another point on this curve

In summary, the two points on this function curve are (0,100) and (2,49)
rahulsharma789888

The graph of f(x) passes through (0,100) points (2,49)  

So option (a) is correct

We have to identify that out of the following given graphs which graph represents the function

[tex]\rm f(x) = 100\times (0.7)^x[/tex]

The given graphs pass through  two points . If the graph passes through a point , the point will satisfy the equation of graph. The points  can be determined  on observing from the graphs we can plug in the x coordinates

on putting x =0 in to the given function we get

   

[tex]\rm f(0) = 100\times 0.7^{0} = 100[/tex]

So the graph of f(x) passes through (0,100)

Also putting x = 2 in the function equation we  get

[tex]\rm f(2) = 100\times (0.7)^{0.2} = 49[/tex]                

So the also passes through (2,49)  

The graph of f(x) passes through (0,100) points (2,49)  

So option (a) is correct

For more information please refer to the link below

https://brainly.com/question/11804653

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