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At a glance, Kendra believes that the function represented on the graph is linear.


How can Kendra determine if the function is actually linear?

AShe can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.
BShe can check to see if the sum of each y-value and x-value in every ordered pair is the same.
CShe can check to see if the quotient of each y-value and x-value in every ordered pair is the same.
DShe can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Verified Answer :

d.)She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Answer:

option: D.

Step-by-step explanation:

"The rate of change of two ordered pair is nothing but the slope of a line segment joining ordered pair (x,y)".

if a function is linear then it is represented as y=f(x)=ax+b

i.e. it is a line segment.

so the slope must be same if we consider any ordered pair.

Hence option D is correct i.e. She can check to see if the rate of change between the first two ordered pairs is same as the rate of change between the first and last ordered pairs.



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