Question

The graph of an exponential function is given. Which of the following is the correct equation of the function? (2 points)

Answer 1

0.32

Explanation:

Answer 2

`y=0.32^(x)`

Explanation:

Whenever we see any exponential function, for the first point, remember this simple rule: every exponential function
`a^(x)` always returns
`a` when evaluated at
`x=1` . In fact,
`a^(1)=a` for every possible base
`a` .

So, we can see that the graph of the exponential passes through the point
`(1,y)` where
`y` appears to be between 0 and 1 and also if we look closely in the figure the y line seems to be more near to 0 rather than 1. So, the only feasible option would be (d) i.e
`y=0.32^(x)`, because it passes through the point
`(1,0.32)`.

For other option (b)
`y` value must be in between 2 and 3 for
`x=1.`

For option (c)
`y` value must be in between 3 and 4 for
`x=1.`

which is not the case, so option d is correct.