Question

Function f is an exponential function. It predicts the value of a famous sculpture, in thousands of dollars, as a function of the number of years since it was last purchased. What equation models this function?

Answer 1

As we can observe from the graph:

The curve passes through two points as represented by two dots which are (0,5) and (1,7).

Also , it is given that the function is an exponential function.

As you can observe from the graph , the curve moves upwards that is from second quadrant to first quadrant.

It is an increasing function, because ,As value of x increases, value of y also increases.

The exponential curve is :

y-1 = 4
`e^x` but it does not passes through (1,7).

So, by using desmos graphing , and plotting different graphs of exponential function , i found answer : y = 5
`* (1.4)^x`