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 orig…

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asked Jun 15, 2019 7.8k views

2 Answers

Jakob Pogulis · Answer 1 · 2019-06-22T03:50:28+0000

Answer:

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.