Question

Which is not a characteristic of an exponential parent function?

A. The range is positive real numbers (y > 0).
B. The domain is all real numbers.
C. It goes through the origin.
D. It passes through (0, 1).

Answer 1

Answer:C. It goes through the origin

Explanation:

Answer 2

Option C) It goes through the origin.

This is the wrong statement about the parent exponential function.

Explanation:

We are given the following:

The characteristic of exponential parent function:

`f(x) = y = b^x\\\text{where b is the base}`

A) True

The range is all positive number that is y > 0

Range can never be negative.

B) True

The domain is all real number.

C) False

It does not pass through origin.

`y = f(0) = b^0 = 1`

D) True

It always passes through (0,1) as shown above.