What is the range of this function?
$y = - 3 | x |$
${y ∣ y \geq 0}$
${y ∣ y \geq 3}$
${y ∣ y < 0}$
${y ∣ y \leq 0}$

Answer

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Answer

Final Answer: ${y ∣ y \leq 0}$

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Step 1 ：The function given is a transformation of the absolute value function. The absolute value function always returns a non-negative value. However, the function is multiplied by -3, which means it will always return a non-negative value multiplied by -3, resulting in a non-positive value.

Step 2 ：Therefore, the range of the function should be all y such that y is less than or equal to 0.

Step 3 ：Final Answer: ${y ∣ y \leq 0}$

What is the range of this function?y=−3|x|{y∣y≥0}{y∣y≥3}{y∣y<0}{y∣y≤0}

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What is the range of this function?
$y = - 3 | x |$
${y ∣ y \geq 0}$
${y ∣ y \geq 3}$
${y ∣ y < 0}$
${y ∣ y \leq 0}$