Select all that apply. In a linear function: Δy = 0 Δx = 0 Δy = n Δx = n Δy = -n Δx = -n
1 answer:
Answers: All the options are right and have a special meaning.
Explanation:
1) <span>Δy = 0
Means y is constant, which is also that the slope is zero.
The function is a horizontal line (paralell to the x-axis)
2) Δx = 0
Means x is constant, the slope is not defined (∞).
The function is a vertical line (parallel to the y-axis)
3) Δy = n
Means that the change in y is constant. So, only if the change in x is also constant the slope is constant and the function is linear.
This is because the slope is Δy / Δx.
4) Δx = n
Means the change in x is constant. So, only if Δy is constant it is a linear function, for the same reason explained above
5) Δy = -n and and 6) Δx = -n
Same reasoning of 3 and 4.
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