Select the correct answer from each drop-down menu. The function f is given by the table of values as shown below. x 1 2 3 4 5 f(x) 13 19 37 91 253 Use the given table to complete the statements. The parent function of the function represented in the table is . If function f was translated down 4 units, the -values would be . A point in the table for the transformed function would be . Reset Next HELP.

Let us examine the speed of growth of the function. We have that the difference between successive terms  is: 2, 4, 8, 16. These are powers of 2 and thus there is clearly an exponential increase in the parent function. In fact, the function can be modeled by f(x)=C+2^x where C is a constant.

We have that the new function is g(x). Translating upwards by 5 means that the new y-values are 5 units higher. Hence, we have that the pairs (x,f(x)) correspond to the pairs (x,f(x)+5) and thus the answer is that the f(x)/y-values will be increased by 5.

According to the above, we need to check the given values and see whether in some cases we have g(x)=f(x)+5; in layman's terms, we need to check whether for some x, the new y-value is bigger by 5 from the old one. This is the case only for (2,16) since the old point was (2,11).

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