The parent function for this function represented in the table is an exponential function.
We have given that,
The function f is given by the table of values as shown below.
x 1 2 3 4 5
f(x) 9 11 15 23 39
An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula
f(x) = eˣ
11 - 9 = 2 = 2¹
15 - 11 = 4 = 2²
23 - 15 = 8 = 2³
39 - 23 = 16 = 2⁴
Therefore, we can deduce that the parent function for this function represented in the table is an exponential function.
If function f was translated up to 5 units, then f(x) values would be increased by 5. Also, a point in the table for the transformed function is equal to (1, 4).
To learn more about the exponential function:
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