Question

Which is not a characteristic of the linear parent function?
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A. It goes through the origin.
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B. The range is positive real numbers (y> 0).
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C. The domain is all real numbers.
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D. It has a slope of 1.

Answer 1

Option B is not correct as the range of a linear parent function is a set of all real numbers.

We know the linear parent function is:

$f(x)=x$

What is a function?

A function is a rule where each element of set A (called the domain) is mapped to only one element of a set B(called codomain).

Characteristics of a linear parent function f(x)=x are:

1)Its graph passes through the origin

2)Its domain is a set of all real numbers.

3)Its range is a set of all real numbers.

4)It has a constant slope i.e 1.

Hence, option B is not correct as the range of a linear parent function is a set of all real numbers.

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