Questions: Name 6 / 15 / 24 Date RANGE DOMAIN AND RANGE range for each function in the appros

Name          6 / 15 / 24
Date
RANGE

DOMAIN AND RANGE
range for each function in the appros
Transcript text: Name $\qquad$ $6 / 15 / 24$ $\qquad$ Date RANGE DOMAIN AND RANGE range for each function in the appros
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Solution

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Solution Steps

Step 1: Identify the Function Type

The graph shown is a V-shaped graph, which is characteristic of an absolute value function. The general form of an absolute value function is \( f(x) = |x| \).

Step 2: Determine the Domain

The domain of a function is the set of all possible input values (x-values). For the absolute value function \( f(x) = |x| \), the domain is all real numbers because you can input any real number into the function.

Step 3: Determine the Range

The range of a function is the set of all possible output values (y-values). For the absolute value function \( f(x) = |x| \), the output is always non-negative because the absolute value of any number is always zero or positive.

Final Answer

  • Domain: \( (-\infty, \infty) \)
  • Range: \( [0, \infty) \)
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