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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

Respuesta :

"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.

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:

[tex]y=ax+b[/tex] where a and b are real numbers.

so for distinct values of x say [tex]x_{1},x_{2}[/tex] we get the y-values as [tex]y_{1},y_{2}[/tex]

now,

[tex]y_{1}-y_{2}=a(x_{1}-x_{2})[/tex]

so for equally spaced [tex]x_{i}'s[/tex] we get the difference in y-value to be equal.

Hence, the function is Linear.



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