Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph? a. linear b. quadratic c. square root d. exponential

"a. linear" is the answer.

Since the difference between each of the y values, which are the outputs, are the same, it must mean that Mary would've gotten a straight line if she graphed this function. Thus, it is a linear function.

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virtuematane virtuematane · Answer 2 · 2019-01-10T02:57:09-05:00

Answer:

Answer is: A(Linear)

Step-by-step explanation:

A linear function is a function whose graph is a straight line.

It is given that Mary plotted a graph and she found out that the difference in the y values is the same. So such a thing could happen when a function is a linear function.

since, a linear equation is given as:

\(y=ax+b\) where a and b are real numbers.

so for distinct values of x say \(x_{1},x_{2}\) we get the y-values as \(y_{1},y_{2}\)

now,

\(y_{1}-y_{2}=a(x_{1}-x_{2})\)

so for equally spaced \(x_{i}'s\) we get the difference in y-value to be equal.

Hence, the function is Linear.