When comparing linear, quadratic, cubic, and exponential functions, what key feature do the all four function types share? (1 point) The minimum value of all function types is (0, 0) The domain of all four function types is all real numbers. The range of all four function types is all real numbers. The x-intercept of all four function types is (0, 0)

1 answer

The key feature that all four function types (linear, quadratic, cubic, and exponential) share is:

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

This means that for each type of function, you can input any real number value for \( x \).

To clarify the other options:

  • The minimum value of all function types is (0, 0): This is not true for all functions; for example, cubic functions can have both positive and negative values, and exponential functions never reach 0.
  • The range of all four function types is all real numbers: This is not true; for example, quadratic functions have a range that depends on whether they open upwards or downwards.
  • The x-intercept of all four function types is (0, 0): This is also not true; while some functions may pass through the origin, not all do.

Thus, the statement about the domain being all real numbers is the correct answer.