In addition to knowing the rate of change of a function, it is useful to know the starting value. What is the starting value of a function?

Question

Check all that applies.

A The starting value of a function is at (0, 0)

B The starting value is the output of the function when the input has a value of 0.

C The starting value is (0, b) where b is the y-value when x is at 0.

D The starting value of a function is when y = 0

Answer 1

The correct options regarding the starting value of a function are:

B: The starting value is the output of the function when the input has a value of 0.

C: The starting value is (0, b) where b is the y-value when x is at 0.

Explanation:

• Option A is not universally correct; (0,0) is only the starting value if the function is defined to have an output of 0 at the input of 0.
• Option D is incorrect; the starting value of a function is not defined by when \( y = 0 \) but rather by the value of the function at \( x = 0 \).