Question
Which of the following key characteristics is not true of an exponential function
It does not have a vertex
The domain is all real numbers
Rate of change is not constant
Maximum number of x-intercepts is 2
It does not have a vertex
The domain is all real numbers
Rate of change is not constant
Maximum number of x-intercepts is 2
Answers
GPT-4o mini
The key characteristic that is not true of an exponential function is:
**Maximum number of x-intercepts is 2.**
This statement is incorrect because an exponential function can have at most one x-intercept (if it crosses the x-axis) when it has the form \( f(x) = a^x \) where \( a > 0 \) and \( a \neq 1 \). In general, exponential functions do not have a vertex, have a domain of all real numbers, and have a rate of change that is not constant.
**Maximum number of x-intercepts is 2.**
This statement is incorrect because an exponential function can have at most one x-intercept (if it crosses the x-axis) when it has the form \( f(x) = a^x \) where \( a > 0 \) and \( a \neq 1 \). In general, exponential functions do not have a vertex, have a domain of all real numbers, and have a rate of change that is not constant.