Download Photo math it will help u a lot with steps
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.
In exponential models there is a constant multiplicative rate of change.
The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.
We can test that using several pair of points.
The multiplicative rate of change is calcualted in this way:
[f(a) / f(b) ] / (a - b)
Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)
[12.5 / 5] / (2 - 1) = 2.5
[5 / 2] / (1 - 0) = 2.5
[2 / 0.8] / (0 - (-1) ) = 2.5
Then, do doubt, the answer is 2.5
Answer: Choice D)
The steps to finding the inverse will have us swap x and y. Afterward, we solve for y
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Extra info:
The inverse relation is not a function because of the plus minus. For instance, plugging x = 4 into leads to y = -3 and y = 3 simultaneously. You would have to apply a domain restriction on to make it a one-to-one function, to make the inverse a function. One possible domain restriction is which would lead to the inverse function