Describe the range of the following absolute value function:𝑓(𝑥)=|𝑥+3|−5𝑓(𝑥)=|𝑥+3|−5The range is: 𝑦𝑦 Answer 1 Question 8 Answer 2 Question 8
Question
Describe the range of the following absolute value function:
f(x) = |x + 3| - 5
The range is:
y
Answer 1
Question 8
Answer 2
Question 8
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 ≥ 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 ≥ -5.
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