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const2013 [10]
3 years ago
10

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. W

hat kind of function did she graph? a. linear b. quadratic c. square root d. exponential
Mathematics
2 answers:
gladu [14]3 years ago
7 0

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.



lutik1710 [3]3 years ago
4 0
"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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