Question

What is the range of the linear parent function

Answer 1

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Explanation:

The graph of the linear function f(x) = ax + b is a line with slope m = a and y-intercept at (0, b).

Characteristics of the Linear Function: Domain: the set of all real numbers.

Range: the set of all real numbers.

Answer 2

The range of the linear parent function is all real numbers. It can also defined as (-∞,∞).

Explanation:

The linear parent function is in the form of

`y=x`

This function is defined for all values of x. It means the domain of linear parent function is the set of all real numbers.

`Domain=(-\infty,\infty)`

According to this function, the value of y is equal to the value of x. It means the function has same input and output values. It means the range of linear parent function is the set of all real numbers.

`Range=(-\infty,\infty)`

Therefore the range of the linear parent function is all real numbers. It can also defined as (-∞,∞).