Compare the parent functions in the following answer choicesWhich parent function is periodic and has an intercept at (0, 1) point) Oy y = 10 ^ x; y = cos x; y = sin x; y = tan x
The periodic parent functions among the choices are cos x, sin x, and tan x.
- The parent function y = cos x is periodic with a period of 2π and has an intercept at (0, 1).
- The parent function y = sin x is also periodic with a period of 2π and has an intercept at (0, 0).
- The parent function y = tan x is periodic with a period of π and does not have an intercept at (0, 1).
The parent function y = 10^x is not periodic and does not have an intercept at (0, 1).
Therefore, the periodic parent function that has an intercept at (0, 1) is y = cos x.