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What does it mean to say that a function is linear?
Select all that apply.
A. The function has a graph that includes the point (0,0).
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
| E. The function has a rate of change that increases.

Sagot :

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A function is linear if:

B. The function can be described by an equation of the form y = mx + b.

C. The function has a constant rate of change.

D. The function has a straight-line graph.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

A linear function has a constant rate of change (either increasing or decreasing).

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