Question

Compare the functions:

Function A:

y=−3x+2

Function B:



(1 point)
Responses

Function A is decreasing and Function B is also decreasing AND Function A is steeper.
Function A is decreasing and Function B is also decreasing AND Function A is steeper.

Function A is decreasing, while Function B is increasing AND Function B is steeper.
Function A is decreasing, while Function B is increasing AND Function B is steeper.

Function A is increasing, while Function B is decreasing AND Function B is steeper.
Function A is increasing, while Function B is decreasing AND Function B is steeper.

Function A is decreasing, while Function B is increasing AND Function A is steeper.
Function A is decreasing, while Function B is increasing AND Function A is steeper.
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Answer 1

I can't see Function B in your message, so I can't pick the exact choice. Here is how to decide:

- For a linear function y = m x + b:
- If m < 0 the line is decreasing; if m > 0 it's increasing.
- The line with larger |m| is steeper.

- For Function A: y = −3x + 2, m_A = −3. So A is decreasing and its steepness is |−3| = 3.

So compute m_B (the slope of Function B) and compare:
- If m_B < 0: B is decreasing. Then
- if |m_B| < 3 → A and B decreasing and A is steeper (choose the option saying both decreasing and A steeper).
- if |m_B| = 3 → both decreasing and equally steep.
- if |m_B| > 3 → both decreasing and B is steeper.
- If m_B > 0: B is increasing. Then
- if |m_B| < 3 → A decreasing, B increasing, A steeper.
- if |m_B| = 3 → A decreasing, B increasing, equally steep in magnitude.
- if |m_B| > 3 → A decreasing, B increasing, B steeper.

If you paste Function B, I’ll pick the correct option for you.