Question

The function f(x) = 5 lxl is graphed on a regular coordinate grid. what is the domain of the function? What is the range of the function?

Answer 1

• domain: all real numbers (-∞, ∞)
• range: all non-negative numbers [0, ∞)

Explanation:

You want the domain and range of the function ...

f(x) = 5·|x|

Domain

The domain of the function is the set of values of x for which it is defined. Here, the absolute value function is defined for all values of x.

The domain is all real numbers.

Range

The range is the set of output values the function can produce. The absolute value function can produce any non-negative number.

The range is all real numbers greater than or equal to zero.

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