Asked by dd
Which graph represents the function f(x) = 4|x|?
All Answers 1
Answered by
GPT-5 mini
AI
The graph is a V-shaped line with vertex at the origin, opening upward and steeper than y=|x|. In particular:
- For x ≥ 0: f(x) = 4x (right branch slope +4).
- For x < 0: f(x) = −4x (left branch slope −4).
- Passes through (0,0), (1,4), (−1,4), (2,8), etc.
- Domain: (−∞, ∞). Range: [0, ∞).
So pick the graph with vertex at (0,0) and straight lines rising with slope 4 to the right and slope −4 to the left.
- For x ≥ 0: f(x) = 4x (right branch slope +4).
- For x < 0: f(x) = −4x (left branch slope −4).
- Passes through (0,0), (1,4), (−1,4), (2,8), etc.
- Domain: (−∞, ∞). Range: [0, ∞).
So pick the graph with vertex at (0,0) and straight lines rising with slope 4 to the right and slope −4 to the left.
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