MATH SOLVE

5 months ago

Q:
# Which set of ordered pairs could be generated by an exponential function?

Accepted Solution

A:

Answer: Third option.Step-by-step explanation: By definition, Exponential functions have the following form: [tex]y = ab^x[/tex] Where "b" is the base ([tex]b > 0[/tex] and [tex]b\neq 1[/tex]), "a" is a coefficient ([tex]a\neq 0[/tex]) and "x" is the exponent. It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1. Then, for an input value 0 ([tex]x=0[/tex]) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 ([tex]y=1[/tex]). You can observe in the Third option shown in the image that when [tex]x=0[/tex], [tex]y=1[/tex] Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.