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Describe the range of the following absolute value function:๐‘“(๐‘ฅ)=|๐‘ฅ+3|โˆ’5๐‘“(๐‘ฅ)=|๐‘ฅ+3|โˆ’5The range is: ๐‘ฆ๐‘ฆ Answer 1 Question 8 Answer 2 Question 8

Question

Describe the range of the following absolute value function:๐‘“(๐‘ฅ)=|๐‘ฅ+3|โˆ’5๐‘“(๐‘ฅ)=|๐‘ฅ+3|โˆ’5The range is: ๐‘ฆ๐‘ฆ Answer 1 Question 8 Answer 2 Question 8

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Solution

It seems like there's a bit of confusion in your question. However, if you're asking for the range of the absolute value function f(x) = |x+3| - 5, here's how you can find it:

Step 1: Understand the basic absolute value function The basic absolute value function is f(x) = |x|. The range of this function is y โ‰ฅ 0, because the absolute value of a number is always positive or zero.

Step 2: Apply the transformations The function you're asking about has two transformations applied to the basic absolute value function. The "+3" inside the absolute value shifts the graph to the left by 3 units, and the "-5" outside the absolute value shifts the graph down by 5 units.

Step 3: Determine the range The downward shift by 5 units changes the range of the function. Instead of starting at y = 0, the function now starts at y = -5. So, the range of the function f(x) = |x+3| - 5 is y โ‰ฅ -5.

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