Answer:
- It goes through the origin, is not a characteristic of an exponential parent function.
Explanation:
The exponential parent function is the most basic form of the exponential form, which is:
That is so because other expnential functions, named daughter functions, can be obtained as a stretching, compression, or translation of such parent function.
Let's see every option:
- The range is positive real number (y > 0)
That is true: the end behavior of the function is y approaches zero from above, when x goes to negative infinite, never getting the zero value, and y increases indefintely as x goes to positive infinite, then y is always positive.
- It goes trhoug the origin.
This is false: the origin is the point (0,0). When you make x = 0, you get y = a⁰ , which is 1. So instead of the origin it goes through (0, 1).
- The domain is all real numbers.
This is true: the function is defined for all the values of x, from negative infinity to positive infinity. which is all real numbers.
This is true as shown above.
