Question

Which of the following functions shown in the table below could be an exponential function? Check all that apply. x -3 -2 -1 0 1 2 3 f(x) 0.37 1.11 0.82 2 3.65 5.15 8.45 g(x) 0.008 0.04 0.2 1 5 25 125 h(x) 1.25 1.5 1.75 2 2.25 2.5 2.75 k(x) 64 16 4 1 0.25 0.0625 0.0156

A. f(x)
B. g(x)
C. h(x)
D. k(x)

Answer 1

The exponential functions in the table are f(x), g(x), and k(x).

Step-by-step explanation:

An exponential function is a type of function where the independent variable is an exponent. In this case, we need to determine which functions in the table have a pattern where the dependent variable increases or decreases exponentially as the independent variable increases or decreases.

The exponential functions in the table are:

• f(x): As x increases by 1, f(x) approximately triples (3 times) each time.
• g(x): As x increases by 1, g(x) increases by a factor of 5 each time.
• k(x): As x decreases by 1, k(x) decreases by a factor of 4 each time.

Therefore, the exponential functions in the table are f(x), g(x), and k(x).