Question

When comparing linear, quadratic, and exponential functions, what key feature do all three function types share?(1 point)
Responses

The x-intercept of all four function types is (0,0).
The x-intercept of all four function types is (0,0).

The range of all four function types is all real numbers.
The range of all four function types is all real numbers.

The domain of all four function types is all real numbers.
The domain of all four function types is all real numbers.

The minimum value of all function types is (0,0).

Answers

GPT-4o mini
The key feature that all three function types—linear, quadratic, and exponential—share is:

**The domain of all four function types is all real numbers.**

Linear functions have a domain of all real numbers, quadratic functions also have a domain of all real numbers, and exponential functions have a domain of all real numbers as well.

The other options are not true for all three types of functions:

- The x-intercept is not necessarily (0,0) for all functions.
- The range is not all real numbers for quadratic functions (which have a minimum value or maximum value depending on their orientation).
- The minimum value being (0,0) is not applicable to all functions either.

So, the correct option is that the domain of all four function types is all real numbers.